Question

WILL MARK BRAINLIEST 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

$10x^2+100x+1000=10(x^2+10x+100)$
$=10(x^2+10x+25+75)$
$=10((x+5)^2+75)$
$=10(x+5)^2+750$
$\implies a=10,b=5,c=750$
$\implies a+b+c=765$