McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Practice Test
Continue to next subchapter

Exercise 15 Page 86

Rewrite the given expression so that it is easier to make groups.

(x+2)(4x+1)

To factor by grouping, we will take the greatest common factor of the first pair of terms and the greatest common factor of the second pair of terms.
4x^2 + 8x+x+2
4x(x+2) + x + 2
4x(x+2)+1(x+2)
Notice that (x+2) is a factor of both terms, so we can factor it out.
4x(x+2)+1(x+2)
(x+2)(4x+1)