Question

Which of the following represents the factorization of the polynomial functiongraphed below? (Assume it has no constant factor.)O A. y - (x - 3)(x+5)B. y - (x - 3)(x-5)O C. y - (x+3)(x - 5)D. y = (x+3)(x+5)

Answer 1

The correct answer is B.

Explanation:

A quadratic function y, with roots a and b, can be factorized as:

y = (x - a)(x - b)

Roots:

Values of x for which y = 0.

In this graph, it is x = 3 and x = 5, so a = 3, b = 5.

Then

y = (x - a)(x - b) = (x - 3)(x - 5).

The correct answer is B.