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The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.-example-1

2 Answers

0 votes

Answer: B

Explanation:

User Nicolas Nobelis
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4 votes

Answer: Option B.

Explanation:

Given the polynomial:


16x^2-36x+9

Observe that
16x^2 and
9 are perfect squares. Then, you can rewrite the polynomial in this form:


(4x)^2-36x+(3)^2

You can identify that:


A=4\\B=3

Then, we can check if
2AB=36


2(4x)(3)=36x\\\\24x\\eq 36x\\\\2AB\\eq36x

Since
2AB\\eq36x, the polynomial
16x^2-36x+9 IS NOT a perfect square trinomial of the form
A^2 - 2AB + B^2

User Ilya E
by
5.6k points