Question

what value in place of the question mark makes the polynomial below a perfect square trinomial? 16x² +?x + 36
a. 24
b. 48
c. 10
d. 20

Explanation:

Step1: Identify square - root of first and last terms

For the polynomial $16x^{2}+?x + 36$, $\sqrt{16x^{2}}=4x$ and $\sqrt{36} = 6$.

Step2: Use perfect - square trinomial formula

A perfect - square trinomial is of the form $(a\pm b)^2=a^{2}\pm2ab + b^{2}$. Here $a = 4x$ and $b = 6$, so the middle term is $2\times(4x)\times6=48x$ or $- 2\times(4x)\times6=-48x$.

Answer:

B. 48