Question

factor completely: 36a^2 - 24a + 4

Answer 1

Hey @lauraoar

First we need to find the GCF.

What is the largest number that divides evenly into 36a2, −24a, and 4?

Answer 2

4?

Answer 3

Correct

What is the highest degree of a that divides evenly into 36a2, −24a, and 4?

Answer 4

2?

Answer 5

Nope

try again

Answer 6

Is A in every term?

Answer 7

nope

Answer 8

So there is none :D

So the GCF=?

Answer 9

4?

Answer 10

is the answer 4(3a-1)^2

Answer 11

Good :D
So now we have the GCF and now we have to factor out the GCF.

Put the GCF as the first term
Then, in parentheses, divide each term by the GCF

so we have
\[4(\frac{ 36a ^{2} }{ 4 }+\frac{ -24a }{ 4 }+\frac{ 4 }{ 4 })\]

Answer 12

Now we simplify each term in the parentheses.

What do we get @lauraoar

Answer 13

4(9a+-6a+1)?

Answer 14

i see you have +-

the -24 is negative and we divided so it goes negative.

And dont forget the a2

4(9a2-6a+1)

Answer 15

a2−2ab+b2
Rewrite it where a=3a and b=1

plug it in

Answer 16

you could of used the quadratic formula

Answer 17

what do we get @lauraoar

Answer 18

@lauraoar did u get the answer or?