Question

Consider the graph of the polynomial function. Which of the following shows three binomial factors of the function?

Question 16 options:

A)

(x – 1)(x – 2)(x – 3)

B)

(x + 1)(x + 3)(x – 2)

C)

(x + 2)(x – 1)(x – 3)

D)

(x + 1)(x + 2)(x + 3)

Answer 1

C

Explanation:

Given a zero x = a then the corresponding factor is (x - a )

Here the zeros ( where the graph crosses the x- axis ) are at

x = - 2, x = 1 and x = 3

Thus the corresponding binomial factors are

(x - (- 2) ), (x - 1) and (x - 3), that is

(x + 2), (x - 1), (x - 3) → C

Answer 2

C

Explanation:

the three binomial factors are (x+2)(x-1)(x-3)