Question

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

9x^2-36x+16

A.True
B.False​

Answer 1

False

Explanation:

The polynomial cannot be factored.

Answer 2

Explanation:

9x² - 36x + 16

= (Ax - B)² = A²x² - 2ABx + B².

By Comparing Coefficients, we have:

A² = 9,

2AB = 36,

B² = 16.

It is obvious that A = 3 and B = 4.

However 2AB = 2(3)(4) = 24 which is not equal to 36.

Hence 9x² - 36x + 16 is not a perfect square trinomial.