How do you factor #2x^3 + 10x^2 + 4x + 20#?

1 Answer
Jul 20, 2016

Answer:

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

Explanation:

There are 4 terms and there is a common factor of 2 in all of them. We can also group the term in pairs to create other common factors:

#(2x^3 + 10x^2) + (4x + 20)#

=#2x^2(x +5) + 4(x +5)" "#
We now have a common bracket and a common factor of 2

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