Question

how do you factor 15f^2-31fg+10g^2

Answer 1

Alright this is how you go about doing this.. you have letters and numbers here to worry about.. since you have f's and g's, you have a lot of factors here...
You know you need to FOIL 2 equations to come up with this answer...
Thus you will have (?f +/- ?g) (?f +/- ?g), now you need to figure out your symbols... you know you have to multiply 2 numbers to get a + value but add em up to get a - value. Thus you can assume both numbers have to be negative...
thus you will have (? f - ? g) (? f - ? g)
Now you just need your numbers... I could just give you the answers, but try it out for yourself first.. if you need additional help just let me know.

Answer 2

i dont get it . please help

Answer 3

Alright well you need factors that multiply to 15 for the f's so what 2 numbers can multiply to get 15?

Answer 4

3 and 5

Answer 5

alright so put those numbers in.. so you will have (3f - ? g) (5f - ? g). You know how to FOIL correct?

Answer 6

okay then what

Answer 7

you need to get 2 numbers that multiply to 10, but also add up to 31.. keep in mind the the 3 and 5 you just picked will play a factor too... but until then.. what 2 numbers multiply to 10?

Answer 8

2 and 5

Answer 9

ok so now you need to put 2 and 5 into the equation.. but which one goes first?
A) (3f - 5g) (5f - 2g)
B) (3f - 2g) (5f - 5g)

Answer 10

b right ?

Answer 11

you're just guessing.. Foil out B and tell me what you get.

Answer 12

i dont know what that means , i just need to figure out the answer and how to get it

Answer 13

FOIL is a way to solve 2 equations.. it means.. First, Outside, Inside, Last
Let me give you an example first...
Example: (x +2 ) (x + 3)
First (F): x(x) = x^2
Outside (O): x(3) = +3x
Inside (I): x(2) = +2x
Last (L): (3)2 = +6
Thus you will get x^2 +3x + 2x +6... and you would combine them to get x^2+5x+6
Now try it with the equation above.....

Answer 14

nvm

Answer 15

Does it help or giving up?

Answer 16

giving up

Answer 17

Don't give up or you will continue to struggle....

Answer 18

I'd give you the answer but then you wouldn't be learning anything. Just try to FOIL it and if you don't get it from there I can help you