Question

Given the trinomial, what is the value of the coefficient 'B' in the factored form?

2x2 - 12xy - 32y2 = 2(x - 8y)(x + By)

B= ____________
I am not looking for an answer, I already know it. I just need to understand how to complete the problem.

Answer 1

2x^2-12xy-32y^2=2(x-8y)(x+By)

Answer 2

@alyssa_xo

Answer 3

as luck would have it, I'm alyssa_xo

Answer 4

LOL! >.> you are never online you must help me!

Answer 5

cause this is my main account lol
anyhow you're given the factorization on the right, use that

Answer 6

for example you know you can pull out a 2 from each term

Answer 7

i dont understand. I can do that on the left, but the right? I foil first? right?

Answer 8

correct...not right... thats confusing

Answer 9

it's a statement of equivalence. they're the same thing

Answer 10

so if you multiply out the right you get the thing on the left

Answer 11

assuming you know what B is

Answer 12

yea, on the left i get 2(x^2-6xy-16y^2)

Answer 13

can you factor the polynomial thing

Answer 14

the right i foil, but the 2 is already taken out, like on the left

Answer 15

no, don't touch the right, it's a blueprint

Answer 16

kay so leave it as 2(x - 8y)(x + By)

Answer 17

so now i have
2(x^2-6xy-16y^2)= 2(x - 8y)(x + By) What do i do next?

Answer 18

the goal is to factor the left until it resembles the form presented on the right

Answer 19

wait but there is xy and y^2 i dont know how to factor that sorry

Answer 20

I'd tell you to factor x^2-6xy-16y^2 but I can't remember how to factor that so just divide

Answer 21

\(\dfrac{ x^2-6xy-16y^2}{x-8y}\)

Answer 22

oh okay sort of like 2=2x and solving for x

Answer 23

uhm.... i got x-6-2y

Answer 24

sorry x-6+2y

Answer 25

I got http://www.wolframalpha.com/input/?i=%28+x%5E2-6xy-16y%5E2%29%2F%28x-8y%29

Answer 26

x+2y

Answer 27

what about the 6? how did it disappear?

Answer 28

where'd you get the -6 from

Answer 29

I can't finish it as I have to play a game

Answer 30

can u show ur work on the division