Question

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

$2x^3 + 18x^2 -18x -162 = 2(x+k)(x-k)(x+9)$

$2(x+k)(x-k)(x+9) =2x^3 + 18x^2 -18x -162$

$2(x^2-k^2)(x+9)=2x^3 + 18x^2 -18x -162$

$2(x^3+9x^2-k^2 x+9k^2)=2x^3 + 18x^2 -18x -162$

$2x^3 + 18x^2 -2k^2x+18k^2= 2x^3 + 18x^2 -18x -162$

comparing both sides

$2k^2 =18$

$k^2=9$

$k=3$

hence answer is k = 3(plus/minus)   :  Answer

Hope it will help :)

Answer 2

Your Answer:

k = 3

Hope this helps y'all :)