Question

24 + 3t^3 - 9t^2 - 8t
factoring.

Answer 1

First step in Factoring: Check for a GCF
Is there one here?

Answer 2

i don't think so?

Answer 3

I would always rearrange factoring problems in a decending order:
3t^3 -9t^2 - 8t + 24

Answer 4

Yes, you are correct: There is no GCF

Answer 5

U can also divide using synthetic division method.

Answer 6

Since there are 4 terms, we can use factoring by grouping:
(3t^3 - 9t^2) (-8t + 24)

Answer 7

Now, find the GCF of each of the two expressions in the parathesis.

Answer 8

Take 3 outside and proceed. u should get as what Katrina said.

Answer 9

3 and 8.

Answer 10

Good.

Answer 11

Yeah.

Answer 12

Taking the GCF of the first one:
3t^2 (t - 3) 8 (t -3)

Answer 13

As you see, the expressions inside the parathesis are the same. They must alwasy remain the same.

Answer 14

therefore the answer would be (t-3)(3t^2-8)

Answer 15

It would be positive 8, not negative

Answer 16

U r right, Katrina. Selma, I would advise u to follow Katrina's steps in detail.

Answer 17

or can you go further with the factoring?

Answer 18

Beg my pardon. 3t^2 + 8

Answer 19

No; that is the conclusion of factoring by groping

Answer 20

Correct!!!!!!!!!! Bravo!!!!!!

Answer 21

Why is it positive 8?

Answer 22

Because of sign change.

Answer 23

This was what we concluded:
3t^2 (t - 3) 8 (t -3)
It woudl be
3t^2 + 8, because there is no substraction sign in front of the 8 when we had factored it

Answer 24

Oh, okay. I understand.

Answer 25

A medal would be appreciated :-)

Answer 26

Okay, thanks so much. :)

Answer 27

24 + 3t^3 - 9t^2 - 8t
3t^3 - 9t^2 - 8t + 24
3t^2 ( t - 3) -8 (t -3)
(t -3) ( 3t^2 -8)

Answer 28

No Problem; Danke for the medal.

Answer 29

Wait, so that means there is a negative?