Question

factor completely: 100x^2-90x+20

Answer 1

Might I suggest you start by factoring out '10' from each term and then factoring the rest into their terms.

Answer 2

i pull out the 10

Answer 3

Your last term, 10 * 10 does not equal 20. :)

Answer 4

wouldn't that be 10 (10x2-9x+2)?

Answer 5

Now what are your factors of 10x^2?

Answer 6

not sure

Answer 7

pull out the 2?

Answer 8

No, you can't pull anything more out because none of it is a factor of 9.

Answer 9

What do you need to multiply together to get x^2?
What do you need to multiply together to get 10?

Answer 10

Okay, for x^2 you can only have x, x
for 10 you can have 1, 10 or 2,5

Answer 11

2 and 5

Answer 12

Good, so I would suggest that you write the factors like this: (5x )(2x )
Now what would you need to get your last term of 2?

Answer 13

1 and 2

Answer 14

Plug them in and see if it works back out to 10x^2+9x+2. :)

Answer 15

Keep in mind that you will be multiplying your 5 by one of those numbers and you do not want it to be more than 9.

Answer 16

i think i messed up somewhere

Answer 17

What did you end up with?

Answer 18

3 at the end not 20

Answer 19

oh now I see it..

Answer 20

thank you!

Answer 21

:) You're welcome.