1.

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

Answer» ONG>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!



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