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can you tell me what a factor is and how it works?

a number or quantity that when multiplied with another produces a given number or expression.

20?

2 times 6 makes 12

Good Job,
so the first part of what you should be writing down is
(2 )(6 )

Since you have an x^2 next to the 12 what do we need to multiply that gives us x^2?

12

does 12 = x^2?

2*6=12
?*?=x^2

a*a=a^2
b*b=b^2
?*?=x^2

im not sure

look at the example I just gave. What did I multiply to get a^2?

a*a=a^2
what is being multiplied here?

There is no 6 in the equation

There are two letters being multiplied together. What are the letters?

yes, so if a * a = a^2
what letters do we need to get x^2?

Yes, so now show me where the x's go in what you are writing down

are you there?

yeah

where do the x's go
(2 )(6 )

Behind the 2 and 6

yes, show me.

(2x) (6x)

10 and -2

no

so let's look at 12x^2 again. instead of 2*6 is there anything else when multiplied that equals 12?

1 and 12

3 and 4

Good job. so show me how you write that down with our x's

im not really sure

(3x) (4x)

10

-5

ok. So lets put them in
(3x+4)(4x-5) now FOIL it out and tell me if it is = 12x^2 – 2x – 20

i think so

show me how you FOILed it out

I mutiplied 3 and 4 and got 12x. Then I multiplied 4 and -5 and got -20

What is FOIL? Isn't there more multiplication to be done?

2x

(3x+4)(4x-5)|dw:1443463356798:dw|