Question

The quadratic $10x^2+100x+1000$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$?

Answer 1

Answer:

765

Step-by-step explanation:

Hello, please consider the following.

$10x^2+100x+1000=10(x^2+10x+100)\\\\=10((x+5)^2-25+100)\\\\=10(x+5)^2+750$

So, a = 10, b = 5, c = 750 and the sum is 765.

Thank you