Question

Does 5a³+15a²-6a-18 factor to (5a²-6)(a+3)?

Answer 1

A good way to check is to foil out and compare.

Answer 2

I dont think i foil right

Answer 3

5a³+15a²-6a-18 = 5a² ( a + 3) - 6 ( a + 3) = (a + 3) ( 5a² - 6).

Check the accuracy of this factoring by grouping.

Answer 4

FOIL -> First, Outer, Inner, Last

(5a²-6)(a+3)

Answer 5

First terms are those that appear first in each set of parentheses.

5a² and a. So what is 5a² times a?

Answer 6

5a² times a ? @JaneDoe100

Answer 7

sorry i was making a factoring darwing

Answer 8

We are learning to FOIL now.

Answer 9

No.

Answer 10

@Directrix
http://openstudy.com/study#/updates/513e836ee4b029b0182c23ed

Answer 11

5a³

Answer 12

5 a^2 means 5 times a times a. Then, multiply that by a.

So, what is 5 times a times a times a?

Answer 13

not 5a³?

Answer 14

5 times a times a times a = 5a³. (F)

O is for the outer terms. The outer terms are on the outside.

What does 5A^2 times 3 =

Answer 15

15a²

Answer 16

15a² (O)

I is for inner.

The inner terms are (-6) and (a). What is the product of (-6) and (a) ?

Answer 17

-6a?

Answer 18

-6a (I)

L is for last. What is the product of (-6) and (3) ?

Answer 19

@JaneDoe100

Answer 20

-12

Answer 21

i think i get what i was doing wrong now thanks!!!

Answer 22

-18 for L (-6)*(3) = -18

Answer 23

F) 5a^3
O) 15a^2
I) -6a
L) -18

Answer 24

so its (5a²-6)(a+3) because that factored out to the right problem

Answer 25

(5a²-6)(a+3) = 5a^3 + 15a^2 -6a -18 = 5a^3 + 15a^2 - 6a - 18.

Answer 26

Yes.

Answer 27

thanks