What is the factored form of the polynomial?

x2 − 15x + 36

a. (x − 4)(x − 9)
b. (x − 3)(x − 12)
c. (x + 4)(x + 9)
d. (x + 3)(x + 12)

the factored form is (x − 3)(x − 12)

b is the correct option.

Step-by-step explanation:

The given quadratic polynomial is

We can factored this with AC method.

Comparing with

a = 1, b = -15, c = 36

Now find factor pairs of 36

36 = 1×36, 2×18, 3×12, 4×9, 12×3

Now choose the pair such that on addition/subtraction it gives -15 and on multiplication it gives 36.

The factor pair  12×3 fulfill this criteria. Hence, -15x = -12x-3x

Find GCF

Factored out the common term

Hence, the factored form is (x − 3)(x − 12)

b is the correct option.

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step-by-step explanation:

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