Question

factorize 6x²(a-2b)+3x(2b-a) ​

Answer 1

Answer:

thanks for free points

Answer 2

Answer:

Given cubic polynomial is

p(x)=x

3

−6x

2

+3x+10

The zeros of the polynomial p(x) are of the form a, a+b and a+2b

Then,

a+a+b+a+2b=−

1

−6

=>3a+3b=6

=>a+b=2 ----------------(i)

Also, a(a+b)+(a+b)(a+2b)+a(a+2b)=

1

3

=>a

2

+ab+a

2

+2ab+ab+2b

2

+a

2

+2ab=3

=>3a

2

+2b

2

+6ab=3 ----(ii)

and a(a+b)(a+2b)=−

1

−10

=>a

3

+a

2

b+2a

2

b+2ab

2

=10

From (i), b=2−a