Question

NEED HELP!! Algebra Quadratic Equations and Functions

Answer 1

Answer:

D. 64

Step-by-step explanation:

Hello,

you know the discriminant and that if it is equal to 0 then the polynomial is a perfect square. So we need to solve

$b^2-4ac = 0$

in this example it means that we need to find c so that

$16^2-4c=0\\4c = 256\\c=256/4=64$

so the solution is 64

and we can verify is as

$x^2+16x+64=x^2+2*8*x+8^2=(x+8)^2$

hope this helps