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

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Answer 1 · 2016-07-20T16:47:03

$2(x+5)(x^2 + 2)$

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

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

How do you factor 2x^3 + 10x^2 + 4x + 202x^3 + 10x^2 + 4x + 20?