a) (15x2-1+9x4-6x3+2x) :( 5 + 3x2-2x)
b) ( -19x+ 10+ 3x4- 5x2+11x3) : ( 3x+ x2-2)
c) (x4-14-x) : (x-2)
Thực hiện phép chia:
1. (-3x3 + 5x2 - 9x + 15) : ( 3x + 5)
2. ( 5x4 + 9x3 - 2x2 - 4x - 8) : ( x-1)
3. ( 5x3 + 14x2 + 12x + 8 ) : (x + 2)
4. ( x4 - 2x3 + 2x -1 ) : ( x2 - 1)
5. ( 5x2 - 3x3 + 15 - 9x ) : ( 5 - 3x)
6. ( -x2 + 6x3 - 26x + 21) : ( 3 -2x )
1: Sửa đề: 3x-5
\(=\dfrac{-x^2\left(3x-5\right)-3\left(3x-5\right)}{3x-5}=-x^2-3\)
2: \(=\dfrac{5x^4-5x^3+14x^3-14x^2+12x^2-12x+8x-8}{x-1}\)
=5x^2+14x^2+12x+8
3: \(=\dfrac{5x^3+10x^2+4x^2+8x+4x+8}{x+2}=5x^2+4x+4\)
4: \(=\dfrac{\left(x^2-1\right)\left(x^2+1\right)-2x\left(x^2-1\right)}{x^2-1}=x^2+1-2x\)
5: \(=\dfrac{x^2\left(5-3x\right)+3\left(5-3x\right)}{5-3x}=x^2+3\)
a)(-3x2+5x2-9x+15):(-3x+5)
b)(x4-2x3+2x-1):(x2-1)
c)(5x4+9x3-2x2-4x-8):(x-1)
d)(5x3+14x2+12x+8):(x+2)
b: \(\dfrac{\left(x^2-1\right)\left(x^2+1\right)-2x\left(x^2-1\right)}{x^2-1}\)
\(=x^2-2x+1\)
\(=\left(x-1\right)^2\)
c: \(=\dfrac{5x^4-5x^3+14x^3-14x^2+12x^2-12x+8x-8}{x-1}\)
\(=5x^3+14x^2+12x+8\)
cho p(x) =3x5-5x2+x4-2x-x5+3x4-x2+x+1
q(x)=-5-3x5-2x+3x2-x5+2x-3x3-3x4
a,thu gọn và sắp sếp đa thức theo lũy thừa giảm dần của biến
b,p(x)+q(x)
`@`\(P\left(x\right)=3x^5-5x^2+x^4-2x-x^5+3x^4-x^2+x+1\)
\(P\left(x\right)=\left(3x^5-x^5\right)+x^4+\left(-5x^2-x^2\right)+\left(-2x+x\right)+1\)
\(P\left(x\right)=2x^5+x^4-6x^2-x+1\)
`@`\(Q\left(x\right)=-5-3x^5-2x+3x^2-x^5+2x-3x^3-3x^4\)
\(Q\left(x\right)=\left(-3x^5-x^5\right)-3x^4-3x^3+3x^2+\left(2x-2x\right)-5\)
\(Q\left(x\right)=-4x^5-3x^4-3x^3+3x^2-5\)
`@`\(P\left(x\right)+Q\left(x\right)=\left(2x^5+x^4-6x^2-x+1\right)+\left(-4x^5-3x^4-3x^3+3x^2-5\right)\)
\(=-2x^5-2x^4-3x^3-3x^2-x-4\)
Giải các phương trình sau:
a) 3 x + 1 − 2 x + 2 = 4 x + 5 x 2 + 3 x + 2 ;
b) 2 x 2 + x + 6 x 3 − 8 + 2 2 − x = 3 x 2 + 2 x + 4 .
a) (3x3 — 2x2 + x +2).(5x2)
b) 3x4(-2x3+5x2-2/3x+1/3)
c) (2x —3)(x2 + 2x — 4)
d) (x -3)(x +7)-(x+5)(x-1)
help plssssss
a: \(5x^2\left(3x^3-2x^2+x+2\right)\)
\(=15x^5-10x^4+5x^3+10x^2\)
b: \(3x^4\left(-2x^3+5x^2-\dfrac{2}{3}x+\dfrac{1}{3}\right)\)
\(=-6x^7+15x^6-2x^5+x^4\)
Bài 2: Tính
a) ( x4 - x3 + x2 + 3x ) : ( x2 - 2x + 3 )
b) ( 21x2y3 ) : ( 6xy)
c) x2- 36 : ( 2x + 10) ( 6 - x )
d) 2x2 ( 3x - 5 )
e) ( 12x3y + 18x2y) : 2xy
g) ( x2 + 2x + 1 ) : ( x + 1 )
h) 5y ( 2y - 1 ) - ( 3y + 2 ) ( 3 - 3y)
i) ( 6x3 - x2 + 5x - 1 ) : ( 2x - 1 )
`@` `\text {Ans}`
`\downarrow`
*Máy tớ cam hơi mờ, cậu thông cảm ._.*
Cậu viết lại rõ đề câu c, nhé.
a) (35x3 + 41x2 + 13x – 5) : (5x – 2)
b) (27x3 - 8) : (2x – 3)
c) (3x4 – 2x3 – 5x2 – 3) : (x2 + 2x – 2)
d) (x4 – x 3y + x2y 2 – xy3 ) : (x2 + y2 )
a: \(=\dfrac{35x^3-14x^2+55x^2-22x+35x-14+9}{5x-2}\)
\(=7x^2-11x+7+\dfrac{9}{5x-2}\)
b: \(=\dfrac{\left(2x-3\right)\left(4x^2+6x+9\right)}{2x-3}=4x^2+6x+9\)
Bài toán 3 : Thực hiện phép chia.
a) (2x3 – 5x2 – x + 1) : (2x + 1)
b) (x3 – 2x + 4) : (x + 2)
c) (6x3 – 19x2 + 23x – 12) : (2x – 3)
d) (x4 – 2x3 – 1 + 2x) : (x2 – 1)
a: \(\dfrac{2x^3-5x^2-x+1}{2x+1}\)
\(=\dfrac{2x^3+x^2-6x^2-3x+2x+1}{2x+1}\)
\(=x^2-3x+1\)
b: \(\dfrac{x^3-2x+4}{x+2}\)
\(=\dfrac{x^3+2x^2-2x^2-4x+2x+4}{x+2}\)
\(=x^2-2x+2\)
a)A=3x(2/3x2-3x4)+(3x2)(x3-1)+(-2+9).x2-12
b)B=x(2x3+x+2)-2x2(x2+1)+x2-2x+1
c)C=x.(2x+1)-x2(x+2)+x3-x+3
a, \(A=2x^3-9x^5+3x^5-3x^2+7x^2-12=-6x^5+2x^3+4x^2-12\)
b, \(B=2x^4+x^2+2x-2x^3-2x^2+x^2-2x+1=2x^4-2x^3+1\)
c, \(C=2x^2+x-x^3-2x^2+x^3-x+3=3\)