Question

Select the correct answer.

What are the factors of the function represented by this graph?

A.
(x − 4) and (x − 8)
B.
(x − 4) and (x + 8)
C.
(x + 4) and (x − 8)
D.
(x + 4) and (x + 8)

Answer 1

option C. (x + 4) and (x − 8)

Explanation:

A factor is one of the linear expressions of a single-variable of the polynomial.

Given: y = (1/4)(x + 4)(x - 8)

When y = 0

∴ (1/4)(x + 4)(x - 8) = 0 ⇒ multiply both sides by 4

∴ (x + 4)(x - 8) = 0

So, the factors of the function are (x+4) and (x-8)

Thus, the answer is option C. (x + 4) and (x − 8)