Question

x^3+3x^2+3x+9 Factor the four term polynomial by grouping

Answer 1

factor out the common terms from x^3+3x^2 and 3x+9

Answer 2

group the first two terms together and group the last two terms together. then factor each grouping... what you got??

Answer 3

6 I am not sure

Answer 4

what's common to x^3+3x^2 ?

Answer 5

look at it like this if you're unsure x^3+3x^2 is the same as x(x^2) +3(x^2)

Answer 6

This is my first algebra class so I am confused

Answer 7

factor x^3 + 3x^2
common factor is x^2
so we get
x^2((x + 3)
do you get that ok?

Answer 8

ok

Answer 9

right now lets look at the third and 4th terms
+ 3x + 9
what is common factor in 3x and 9?

Answer 10

12

Answer 11

no - what common factor means is

the number ( or term) that divides exactly into both 3x and 9

Answer 12

3

Answer 13

yes - actually its the Greatest Common factor (GCF) of 3x and 9

Answer 14

dividing 3x + 9 by 3 = 3( x + 3)

Answer 15

ok?

Answer 16

ok

Answer 17

so bringing them altogether

x^3+3x^2+3x+9

= x^2(x + 3) + 3(x + 3)

note that (x+3) is common to both parts

so we can simplify more

Answer 18

if you have something like

3x + 3y

factors to

3(x + y) because 3 is common t0 both terms

compare this with last post where (x + 3) is common factor

Answer 19

How would i simplify it

Answer 20

i took 3 out in last problem so here you take (x + 3) out