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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)

Which of the following represents the factorization of the polynomial functiongraphed below Assume it has no constant factorO A y x 3x5B y x 3x5O C y x3x 5D y x class=

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Answer:

The correct answer is B.

Step-by-step 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.

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