Question

what is the expression in factored form 2x^2+16x+24

Answer 1

Steps:
first take out all visible common factors, in this case, 2.
\(2x^2+16x+24=2(x^2+8x+12)\)
We know that if we want to factor in the form (x+a)(x+b), then
a*b=12, a+b=8.
and a,b must both be factors of 12 (since a*b=12).
I'll leave it to you to find a and b to finish the problem.