How do you factor #x^3+6x^2+5x+30# by grouping?

1 Answer
Sep 1, 2016

Answer:

#(x+6)(x^2 +5)#

Explanation:

There are 4 terms and no common factor in all of them.

Make common factors by grouping in pairs - make sure there is a + between the groups,

#x^3 +6x^2 +5x+30 " = " (x^3 +6x^2) +(5x+30) #

=#x^2(x +6) + 5(x +6) larr" "# there is a common bracket.

#(x+6)(x^2 +5)#