Question

How do you verify factoring is correct?

Answer 1

Multiply the factors together. You should get the original expression.

For example, if we are to factor
2x^2 + 4x
we would factor as
2x(x + 2).
Check this by multiplying back in
2x*x + 2x*2 = 2x^2 + 4x
which is what we started with, so we know we are correct.