x²-2x+3

=x²-x-x+1+2

=x.(x-1)-(x-1)+2

=(x-1)(x-1)+2

Để x²-2x+3 chia hết cho x-1 thì:

(x-1)(x-1)+2 chia hết cho x-1

=>2 chia hết cho x-1

=>x-1 thuộc Ư(2)={1;-1;2;-2}

Ta có bàng sau:

Vậy x={2;0;3;-1}

1/ Can you turn...........up.............. the volumne? I’d like to listen to the weather forecast.

2/ If you go ...........on........ littering, the environment will be seriously polluted

3/ though we don’t have mother’s day in viet Nam, dad and I usually have presents........for............ my mother ..........on.............. March 8th

4/ nam is fond ...........of................ playing soccer

5/ I can’t go to the movies tonight. T have to look ........after.............. my baby sister.

6/ Congratulation ..........on............... your passing the exam!

7/ You should go to school by bike instead ...............of..........going by motorbike

8/ it’s kind .......of..................... you to say so.

9/ I’d like to watch stars.........at................... night

10/ My father is great. I am proud ...........of......... him

II.Use t he correct form of word

21. He will stay there .....at...........the beginning of October. ( preposition )

22. Mr Thanh leaves Hanoi .....at.......2 pm.

23. I am looking forward to ..............hearing.................from you . ( hear )

24. Let’s ..........play......................a game . ( play )

25.I want to see the.....................protection..................of environment from the local authority( protect)

26.The old man walked ............slowly..........................to the park.( slow)

27.She broke the vase because she was..........careless...........( care)

28.If we go on littering , the environment will become ..................seriously........................polluted ( serious)

29.If the ........................pollution......................continues, what will happen?( pollute)

30.They want to save ..................natural.............................resources( nature)

31.This festival .................is celebrated...................in Israel every year . ( celebrate )

II.Use t he correct form of word

11. New Year’s Day is .............on......................January 1st.

12. Auld Lang Syne is ......on...........New Year’s Eve.

13. I congratulate Susan....on.......passing her exam .

14. The music is too loud . Can you turn it ........down..............a little . ( preposition )

15. Why don’t you bring ...........along......................an umbrella?

16. This novel, that=>which I bought last week , is very interesting . ( correct the mistake )………………

17. Last summer I have=>had stayed on my uncle ‘s farm for two weeks . ( correct the mistake )………

18. This car used to paint=>be painted white. ( correct the mistake )…………………………………………

19. A tornado looks as=?like a funnel. ( correct the mistake )……………………………………………

20. How about ............going....................to the zoo ? ( go)

II.Use t he correct form of word

1. HCMC can ....................expect.................thunderstorm someday. ( expectation )

2. Thousands of people were ...........disastrously..............killed in that morning . ( disaster)

3. He is a .............trustful..........................man . ( trust)

4. He is one of the best ................scientists...................in the world . ( science)

5. Some ...........environmental...................groups have declared a boycott of tourism on the island. ( environment )

6. That old man told me an .................amazing..............story . ( amaze)

7. My brother spent hours.............repairing................his motorbike. ( repair)

8. Don’t forget to bring my dictionary when you ...........come...................back tomorrow . ( come )

9. You .............would feel...............cold if the sun ...............didn't shine....................... ( feel / not shine )

10. She dislikes ..............being asked.....................to do something by the others. ( ask)

ICircle the letter of the best answer :

21. passover is celebrated in Israel and by all ...................people .( English/ VietNamese/ Japanese/ Jewish)

22. It’s very nice .........................................you to give me this present!( of/ in/ by/ on)

23. He is the most ........................................activist in the town.( effective/ effection/ effect/ effectively)

24. In Australia, a tropical storm is calleda ..........................................( typhoon/ cyclone/ hurricane/ tornado)

25. we can usually predict when a volcano will...................................( abrupt/ abruptness/ erupt/ eruption)

26. He is the man ...........................................helped me yesterday.( which/ who/ whom/ whose)

27. The car ....................................she has just bought is verymodern( which/ who/ whom/ whose)

ICircle the letter of the best answer :

11.We are worried ...........................................our water bill( to/ about/ at/ with)

12. We can save natural resources by using.........................................energy.( Sun/ Sun’s/ the Sun/ solar)

13. You should reduce the................................of water your family use.( number/ amount/ much/ many)

14. A............................faucet can waste 500 litters of water a month.( dripped/ dripping/ driped/ driping)

15.Mrs Tam gives us advice.....................................how to save water.( on/ in/ off/ about)

16. ..............................................the weather is fine, we should go for a walk.( when/ unless/if/ whether)

17. I’m looking forward ..........................................your information.( to hear/ hear/ hearing/ to hearing)

18. If all the pollution goes on, the world......................like a second hand junk yard( will end/ would end/ ends/ ended)

19. Lan is hungry ...........................................she hasn’t eaten all day( because/if/ although/so)

20.The suggest ..............................................showers because they can save water.( to take/ took/ taking/ taken)

ICircle the letter of the best answer :

1. My father has to go to work ...........................it is raining hard.( though/ but/ because/ and)

2. He loves his parents very much and wants them to be ....................( happy/ happily/ happiness/ happen)

3. I’m pleased...................................your pronunciation is getting better.( that/ why/ so/ with?

4. If you go out, you .......................................wet( are /will/ will be/ be)

5. My sister will look .......................................my baby when I’m away.( after/ at/ for/ up?

6. Nam runs very.......................................( slow/ slowed/ slowly/ quick)

7. What should we do to ...........................................the Environment?( keep/ prevent/ proctect/reduce)

8. You can reduce garbage by.....................................plastic bags.( making/ collecting/ putting/ keeping)

9. Don’t forget to turn ..........................................the faucet when you leave the room.( on/ in/ off/ at.)

10.He’s ill ...................,..................... he has to work.( therefore /because/ however/ so)

· Exercises: Adjective or adverb

1. The old man walked .........slowly..................to the park. (slow)

2. The children seemed very ..............nervous.................before the final exam. (nervous)

3. They lived in the countryside ................happily.......................( happy)

4. Hoa was ...............extremely................pleased that she got an A for her assignment. ( extreme)

5. I hate him because he behaves ..........friendly............... ( friend )

1. Ba is tired . He stayed up late watching TV. ( because) Ba is tired because He stayed up late watching TV

2. I was careless. I broke the cup . ( as) As I was careless, I broke the cup

3. I want to go home . I feel sick . ( since ) I want to go home since I feel sick

4. She / surprised / am / hasn’t / I / that / phoned . ( rearrange )

i am surprised that she hasn't phoned

5. If it is raining this evening , I .........................out . ( don’t go / won’t go / go )

6. If she ( have ) ...........has..............his telephone number , she will phone him .

7. Ask Mai to come and see me if you ...........................her . ( meet / will meet / met/ can meet)

8. I ‘ve looked .......for.........my pen every where and I can’t find it any where. ( preposition)

· Exercises: Do as directed

1. Hoa fell her math test .........................., she has to do the test again . ( however / therefore/ but )

2. It’s raining , ...........................I can’t go to the beach. ( so / however/ and )

3. If we go ....on......wasting water , there will be a shortage of fresh water in a few decade. ( fill in the gap)

4. Turn ......on.........the TV for me , will you ? I want to watch the weather forecast.

5. She can’t go to the movies . She will have to look......after..................her little sister.

6. I suggest ................collecting..................unused clothes. ( collect)

7. I suggest that you ..............should go..............to bed early . ( go )

8. I used to smoke but I .........gave...............up last year. ( fill in the gap)

· Exercises: Do as directed .

1. This watch is a gift. The gift was given to me by my aunt on my 14th birthday. ( which)

This watch is the gift which was given to me by my aunt on my 14th birthday.

2. My friend Tom can compose songs . Tom sings western folk songs very well. ( Who )

My friend Tom who sings western folk songs very well can compose songs

3. I bought a picture . It was very valuable. ( which )

I bought a picture which was very valuable

4. I saw the girl . She helped us last week. ( who )

I saw the girl who helped us last week.

5. The visitors can see a lot of beautiful parks . They come to London. ( Who )

The visitors who come to London can see a lot of beautiful parks

6. Where are the eggs . They are in the fridge. ( which )

Where are the eggs which are in the fridge?

7. The car is very new. I have just bought it . ( which )

The car which I have just bought is very new

8. The boy was very poor . I helped him yesterday. ( whom)

The boy whom I helped yesterday was very poor

9. I met the man ......who................know you .

10. Your mother , ........who............ answered the phone , told me you were away.

11. They are at Heathrow Airport, ........which.............is one of the biggest airport in the world .

12. It’s in Hue............where...............I was born.

13. My class has 20 students , all of .......................who..........are girls .

14. We walked down the steps........which...........led to the basement .

15. Frank, .........who.............was talking to Jim, used to teach me English.

16. He ‘s got an English name . He is in fact American. ( although)

He ‘s got an English name although He is American.

17. I decided to accept the job. The salary was low .

=> In spite of the low salary, I decided to accept the job

18. Although he has a pleasant manner . He is a bad doctor.

=> Despite his pleasant manner , He is a bad doctor.

19. He often tells lies . Many people believe him . ( Though )

=> though He often tells lies , Many people believe him .

20. She kept on studying . It was noisy. ( Even though)

=>Even though It was noisy, She kept on studying

II/ Choose the best answers. ( 2pts )

1. My friend, Hoa , ....................works in a city bank , earns much money than I do .

a. who b. that c. which d.Whose

2. According to the weather ............................., It is going to rain here tomorrow

a. forecasting b. forecast c. forecasted d. on forecast

3. Turn .....................the volume . I can’t hear clearly .

a. down b. on c. off d.up

4. The house ....................I want to buy is very beautiful.

a. who b. which c. in which d. b and c are correct

5. ....................having a lot of money , she didn’t buy e new bike.

a. In spite of b. Although c. Though d. Because

6. I suggest.......................some monsy for poor children.

a. to raise b. raising c. raised d. raise

7. Many people became .......................after the earthquake.

a. home b. homesick c. homeless d. harmless

8.The house was ................................quiet .

a. strange b. strangely c. beautiful d. stranger

III/ Do as directed. ( 3pts )

1. This is the woman . She sat next to me last night . ( Combine using who )

This is the woman who sat next to me last night

2. The bicycle is very expensive . It is bought by Mr Nam . (Combine using which )

The bicycle which is bought by Mr Nam is very expensive

3. Hoa was tired . She helped Lan . ( although )

although Hoa was tired , She helped Lan

4. The ..........eruption ...................of the volcanoes is always disastrous . ( erupt )

5. Even though she was ill . She went to school . ( Rewrite sentence)

In spite of her illness, She went to school

6. Nam got wet. He forgot his umbrella. (Combine sentence-using Because)

Nam got wet because He forgot his umbrella.

IVI/ Use the correct form of the words(2pts)

1) 2. The ................pollution..................... (pollute) of the air is dangerous for us.

2) 3. Hoa isn’t sastisfied with her .............preparations........................ (prepare) for Tet.

3) 4. Why don’t we ...............walk...................... (walk ) to school?

4) If a disaster ...................happens..................... (happen), it will destroy many thing.

I/Choose the correct answer :2,5 ms

1.The dog ........... bit me yesterday is mine.

A .which B.who C.whom D.what

1.The clown made me .............................. alot.

A.to laugh B.laughing C.laugh

2.My school library is quite good ......................... public one.

3.The book ............... you gave me yesterday is interesting.

A.it B. that C.which D.who

4.When we lived in Hanoi ,my father used to................... us to the cinema.

A.take B.took C.took D.taken

5.This is the girl ................... helped me yesterday.

A.who B.whom C.which D.How

6.The man .............. I told you yesterday is so handsome.

A.what B.how C.which D.whom

7.Mrs Green .................. helps us to find the books.

A.is a librarian B.is librarian C.is the librarian D.the librarian

8.I ....................... go to Hanoi now if I had free time.

A.would B.will C.shall

9.My father often advises us ( to tell / telling / tell ) him the truth .

10.We enjoyed the film very much beacause it was so ( interested /interesting /interest