Question

4) Given that the polynomial p(x) = 2x4 - 3x2 + 6x + k.

Find the value of k if (x - 1) is a factor of p(x).
{ANS: k = -5)​

Answer 1

k = - 5

Explanation:

Given that (x - 1) is a factor of p(x) then p(1) = 0, that is

2 - 3 + 6 + k = 0

5 + k = 0 ( subtract 5 from both sides )

k = - 5