Question

5

Select the correct answer.
if(t + 4) is a factor of polynomial p, which statement must be true?
OA. p(4)
0
B. p(4) < 0
OC. P(-4) = 0
OD. p(-4) > 0
What’s the answer

Answer 1

`p(-4) = 0`

Explanation:

Given

`Polynomial: p`

`Factor: (t + 4)`

Required

Which statement is true

First we need to equate t + 4 to 0; then solve for t

`t + 4 = 0\\`

`t = 0 - 4`

`t = -4`

Represent the polynomial as a function of t:

`p(t) = 0`

Substitute -4 for t

`p(-4) = 0`