How do you factor 4q^2-19q+12
I can get to this but I don't know what to about the -19. (2q 6)+(2q 2)

- anonymous

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- yamyam70

hi :) first multiply 4 and 12 :)

- anonymous

hi ok I get 48
which could possibly be -2 x24

- anonymous

but how to make that equal -19

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## More answers

- yamyam70

okay, next step is to get the factor pairs of 48, that when you add it the result is -19 :)

- yamyam70

what do you think would be the 2 factors?

- anonymous

that's where I am getting stuck

- yamyam70

try -16, -3

- anonymous

that works
thak you

- anonymous

*thank

- yamyam70

so what would be your factors?

- anonymous

-16 *-3

- anonymous

(2q-166)+(2q-32)

- yamyam70

aha, what would be your final answer ?

- yamyam70

that is not a factor :) ,that is addition, which likely you will combine like terms :)

- anonymous

4Q(-198)

- anonymous

here

##### 1 Attachment

- yamyam70

1q-4(4q-3) is correct :)

- anonymous

Thank you for the explanation now I get how to do it. I tried another site and all they wanted to do is give me the answer which doesn't really help me learn

- yamyam70

What I do is, I factor by grouping, do you want me to teach you that ? :)

- anonymous

if you don't mind

- yamyam70

You're welcome :)

- yamyam70

Okay here goes

- anonymous

Yeap np that method is called the umbrella method, easiest to learn until you learn how to just look at the problem and get the answer

- yamyam70

4q^2-19q + 12 * first we multiply 4 and 12
we get 48, our goal is to find
factors of 48 , that when we combine them
we get -19 q , follow?

- anonymous

yes

- yamyam70

our factor pair is , -16 and -3 , which will give us -19 :)

- anonymous

that makes it seem easy now.

- yamyam70

so when grouping ,
it goes like this , . . 4q^2 -16q -3q +12
-16 and -3 are our factors :)

- yamyam70

we just expanded -19q :)

- anonymous

yes expanded it so that it would be a factor of both numbers

- yamyam70

aha!

- yamyam70

so by grouping we take the GCF of the First Two terms.

- yamyam70

and we do the same for the other 2 terms :)

- anonymous

I wrote it down so I wont forget it. Thanks
now to figure out how to do this one 2(a+b)^2-5(a+b)-3

- yamyam70

what are we trying to do?

- anonymous

same thing factor it out completely

- yamyam70

I see.

- yamyam70

one moment :)

- anonymous

(a+b^2 +a+b)-6

- yamyam70

what do you think should be done first? exponent or constant?

- yamyam70

is that what we are trying to factor?

- anonymous

no I was trying to figure it out 2(a+b)^@+(a+b)-6 I think I should athe a+b together correct

- anonymous

^2

- yamyam70

we have an exponent ^2

- anonymous

yes on the first a +b

- yamyam70

yup, so we can't combine

- yamyam70

to be honest I'm quite rusty on this, lol I'll seek help for you :)

- anonymous

ok I need all the help I can get:)

- yamyam70

@DebbieG We may need your help :)

- anonymous

the problem is 2(a+b)^2-5(a+b)-3

- yamyam70

uhmm red, I'm going to bed as, I have class tommorow, so nice time with you :) night

- anonymous

thank you for the help

- yamyam70

Just start another session :)

- yamyam70

bye :)

- anonymous

ok I will

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