2pi(x^2 + 4x + 4) + 2pi(x^2 + 7x + 10)

Question

How do I write this as a polynomial in standard form (by factoring out 2pi)?

Answer 1

With 2π factored out…

(x^2 + 4x + 4) + (x^2 + 7x + 10) =

2x^2 + 11x + 14 or

2π(2x^2 + 11x + 14)

Answer 2

I don't understand how you did 2x^2.

Answer 3

ummm, that would be x^2 + x^2 = 2x^2
just as 4x+7x = 11x
and 4+10 = 14

just collect all the terms with the same power x^2 means 1x^2, so x^2+x^2 = 1x^2 + 1x^2 = 2x^2