Question

Solve equation to find a number that will this a perfect trinomial

Answer 1

Given:

`x^2+8x\text{ + \_\_\_\_\_}`

Let's find the number that will make the expression a perfect trinomial.

To find the number, apply the formula:

`\text{new term = (}(b)/(2))^2`

From the expression:

b = 8

Hence, we have:

`((b)/(2))^2=((8)/(2))^2=(4)^2=16`

Therefore, the number that will make the expression a perfec squaret trinomial is 16 .

Hence, the trinomial is:

`x^2+8x+16`

ANSWER:

16