Question

What value completes the square for the expression?

Answer 1

Do you know what a perfect polynomial is?

Answer 2

A. 5 B. 25 C.-5 D.-25

Answer 3

so do you ?

Answer 4

Yes, we have been studying it in class

Answer 5

Ok, so you probably know that; \( \tiny\\[0.5em] \)
\(\color{#000000 }{ \displaystyle (x+a)^2= x^2+\color{red}{2a}x+a^2 }\)

And, you have
\(\color{#000000 }{ \displaystyle x^2+\color{red}{10}x+~\color{blue}{?} }\)

Answer 6

10 corresponds to "2a", so you can find the
"a" based on that, and then refer to the form,
\(\color{#000000 }{ \displaystyle x^2+2ax+a^2 }\)

And, \(a^2\) is the number that you need to add.

Answer 7

then would it be -25?