Question

How do you factor `2x^2 + 40x + 200`?

Answer 1

Simplify first, then factor.

`2x^2 + 40x +200` = `2( x^2 + 20x + 100)`
Work out what numbers multiply to give 100 and add to give 20. The answer is 10 - 10*10 = 100 and 10+10 = 20. Therefore the answer is
`2(x + 10)^2`