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

Question

asked Oct 5, 2020 545 views

2 Answers

Ilya E · Answer 1 · 2020-10-10T10:18:09+0000

Answer: Option B.

Explanation:

Given the polynomial:

16x^2-36x+9

Observe that
16x^2 and
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