How do you factor the trinomial x^2 + 3x + 2 ?

2 Answers
May 25, 2018

(x+1)(x+2)

Explanation:

"the factors of + 2 which sum to + 3 are + 1 and + 2"

x^2+3x+2=(x+1)(x+2)

May 25, 2018

(x+2)(x+1)

Explanation:

Factor by grouping.

For a polynomial of the form a^2+bx+c
, rewrite the middle term as a sum of two terms whose product is
a⋅c = 1 xx 2=2 and whose sum is b=3

Factor 3 out of 3x.
x^2+3x+2

Re-write 3 as sum of 2 plus 1

x^2+(2x+1x)+2

Factor out the greatest common factor (GCF) from each group.

x(x+2)+1(x+2)

Factor the polynomial by factoring out the greatest common factor,(x+2)

(x+2)(x+1)
.