Question

Help me check my answer?
Factor completely: 3x3 + 3x2 - 18x (4 points)

3x(x + 3)(x + 2)

3x(x + 3)(x - 2)

*3x(x - 3)(x + 2)

3x(x - 3)(x - 2)

Answer 1

So first we notice that all three terms of that given polynomial have a common factor.

Answer 2

3x^3 is the same as 3x*x^2
3x^2 is the same as 3x*x
-18x is the same as 3x*(-6)
so we see the common factor is ?

Answer 3

@kinserkara did you choose the third one? because it has a * by it

Answer 4

well your choices basically tell you the common factor is 3x
but that leaves the x^2+x-6 to factor

Answer 5

do you know which two factors of -6 have product -6 and also add up to be 1?

Answer 6

3x(x^2 - x -6)

Then, factor the trinomial into a product of two binomials.

3x(x -3)(x+2)

Answer 7

i was wrong?

Answer 8

well just a little bit you chose the number -3 and 2 but -3+2=-1 which isn't 1
you almost got it; just switch the negative around

Answer 9

you know that 3+(-2)=1

Answer 10

yea

Answer 11

B?

Answer 12

yea

Answer 13

ok thx

Answer 14

I'm still going to give @Cgsmith a medal because he did show how to factor x^2-x-6
which is (x-3)(x+2)

Answer 15

yeah i wish i could give more than ne medal