Question

factorize the following polynomials using synthetic division method 2x^3-7x^2-10x+24​

Answer 1

Answer:

The Correct Answer is

$(x + 2)(2 x - 3)( -x - 4)$

Step-by-step explanation:

Given,

$2x {}^{3} - 7x {}^{2} - 10x + 24 \\ = 2x {}^{3} + 4x {}^{2} - 11x {}^{2} - 22x + 12x + 24 \\ = 2x {}^{2} (x + 2) - 11x(x + 2) + 12(x + 2) \\ = (x + 2)(2x {}^{2} - 11x + 12) \\ = (x + 2)(2x {}^{2} - 3x - 8x + 12) \\ = (x + 2)(x(2x - 3) - 4(2x - 3) \\ = (x + 2)(2x - 3)(x - 4)$

Hope this will help you!

And Sorry I know only this method!

Answer 2

Answer:

Answer:

The Correct Answer is

(x + 2)(2 x - 3)( -x - 4)(x+2)(2x−3)(−x−4)

Step-by-step explanati

2x

3

−7x

2

−10x+24

=2x

3

+4x

2

−11x

2

−22x+12x+24

=2x

2

(x+2)−11x(x+2)+12(x+2)

=(x+2)(2x

2

−11x+12)

=(x+2)(2x

2

−3x−8x+12)

=(x+2)(x(2x−3)−4(2x−3)

=(x+2)(2x−3)(x−4)

Hope this will help you!

And Sorry I know only this method!