PowerPrep+, Quiz 4, Questions 9 and 10 (Spoiler) [PowerPrep+ Question]


While expanding and adding the coefficients yields the correct answer, a significantly faster way is to realize that a+b+c+… is just the polynomial evaluated at x=1. This is the same as the original expression at x=1.

#9 : (5+3)\times(2-5) = (8)\times(-3) = -24
#10 : (1+3)^3 = 4^3 = 64

On test day it is now seconds instead of minutes.

Nice spot there!

You’re right, for this specific question, for you did notice that, it would be faster

However, many questions on polynomials may not present the same opportunity, so it’s still valuable building this understanding