I need help trying to put the correct vocabulary words when solving this problem such as grouping, factor, prime factor, GCF, and perfect square, and please check and see if I am doing this correctly.

15x^2+31x+2

In my last problem I will be using the “ac method”

A*C = 15*2 = 30 = 1*30. Sum = 1+30=31=B.

Ac=30

Factors must add to 31

30+1 = 31

(x+2)(15x+1)

15x^2 + (x+30x) + 2

(15x^2+x) + (30x+2) =

X (15x+1) + 2(15x+1) =

15x^2 + 30x + x + 2

15x(x+2) + 15x+2

(15x+1)(x+2)

Final answer: 15x(x+2) + 1(x+2)

1 answer

15x(x+2) + 1(x+2)
Factor out x+2:
(x+2)(15x+1) = Final answer.