Question

What number will make this a perfect square trinomial ×^2+8x+

Answer 1

Answer:

16

Step-by-step explanation:

16 will make $x^2+8x+$ a perfect square trinomial.

Quadratic equation and perfect square trinomials

Quadratic equation:

$ax^2+bx+c=0$

A perfect square trinomial is a polynomial that can be written as a perfect square of a binomial; usually as $(x+a)^2$, $a$ being a constant.

In order to find this, we need to find a number that when multiplied by itself will equal to $c$, and when added will equal to $b$. In this case $b=8$ and the number that when added to itself will equal 8 is 4. Thus, we multiply 4 by itself, or square it, to get 16.

Thus, 16 will make $x^2+8x +$ a perfect square trinomial.