Question

factor 3x^2+9x+x+3.. Help?

Answer 1

3x^2+9x+x+3

(3x^2+9x)+(x+3)

3x(x+3)+1(x+3)

what's next?

Answer 2

distribute?

Answer 3

why do that? that will just make you go back a step and get you back to (3x^2+9x)+(x+3) again

Answer 4

why not factor out that common term (x+3)

Answer 5

Idk? that's why i'm so confused because our teacher tells us to do that.. -_-

Answer 6

3x^2+9x+x+3

(3x^2+9x)+(x+3)

3x(x+3)+1(x+3)

(3x+1)(x+3) ... factor out the GCF x+3

Answer 7

see how I went from

3x(x+3)+1(x+3)

to

(3x+1)(x+3)

?

Answer 8

yeah I understand now :) thank you!

Answer 9

ok great