Question

Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k​

Answer 1

The value of k is 14.

Explanation:

(x - 2) is a factor of the polynomial

`x - 2 = 0 \rightarrow x = 2`

This means that
`p(2) = 0`

p(x) = 2x² + 3x - k​

`p(2) = 2(2)^2 + 3(2) - k`

`0 = 8 + 6 - k`

`14 - k = 0`

`k = 14`

The value of k is 14.