Question

Which value must be added to the expressionx2+16x to make it a perfect-square trinomial?

Answer 1

The answer is C.) 64 on edge.

Answer 2

Explanation:

Please write x^2+16x or x²+16x to indicate the exponentiation.

To rewrite x²+16x as a perfect square trinomial:

1) Take half of the coefficient of x, that is, half of 16, which is 8

2) Square this result: 8² or 64

3) Starting with x²+16x again, add 64 and then subtract 64 to get a trinomial expression equivalent to x²+16x:

x²+16x + 64 - 64

4) Rewrite the first three terms as the square of the binomial x + 8:

(x + 8)² - 64

Here (x + 8)² is a perfect square trinomial.