Question

Cach phan tich da thuc thanh nhan tu

a)X^3+2X^2+2X+1

b)X^3-4X^2+12X-27

c)a^6-a^4+2a^3+2a^2

d)x^4+2x^3+2x^2+2x+1

e)x^5+x^4+x^3+x^2+x+1

 

Answer 1

a) 

=x³+x²+x²+x+x+1

=x²(x+1)+x(x+1)+(x+1)

=(x+1)(x²+x+1)

Answer 2

b) 

=x³-3x²-x²+3x+9x-27

=x²(x-3)-x(x-3)+9(x-3)

=(x-3)(x²-x+9)

Answer 3

a) 

=x³+x²+x²+x+x+1

=x²(x+1)+x(x+1)+(x+1)

=(x+1)(x²+x+1)

b) 

=x³-3x²-x²+3x+9x-27

=x²(x-3)-x(x-3)+9(x-3)

=(x-3)(x²-x+9)

d)x^4+2x^3+2x^2+2x+1(no)

e)x^5+x^4+x^3+x^2+x+1 ( no)

Answer 4

b, = x^3 - 27 - ( 4x^2 - 12x )
    = x^3 - 3^3 - 4x(x - 3)
    = ( x - 3 ) ( x^2 - x.3 - 3^2 - 4x ( x - 3 )
    = ( x - 3 ) ( x^2 -3x - 9 - 4x )
    = ( x - 3 ) ( x^2 - 7x -9 )

Answer 5

a) 

=x³+x²+x²+x+x+1

=x²(x+1)+x(x+1)+(x+1)

=(x+1)(x²+x+1)

b) 

=x³-3x²-x²+3x+9x-27

=x²(x-3)-x(x-3)+9(x-3)

=(x-3)(x²-x+9)

d)x^4+2x^3+2x^2+2x+1(no)

e)x^5+x^4+x^3+x^2+x+1 ( no)