Question

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)

Answer 1

hi :) first multiply 4 and 12 :)

Answer 2

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

Answer 3

but how to make that equal -19

Answer 4

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

Answer 5

what do you think would be the 2 factors?

Answer 6

that's where I am getting stuck

Answer 7

try -16, -3

Answer 8

that works
thak you

Answer 9

*thank

Answer 10

so what would be your factors?

Answer 11

-16 *-3

Answer 12

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

Answer 13

aha, what would be your final answer ?

Answer 14

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

Answer 15

4Q(-198)

Answer 16

here

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

if you don't mind

Answer 21

You're welcome :)

Answer 22

Okay here goes

Answer 23

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

Answer 24

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?

Answer 25

yes

Answer 26

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

Answer 27

that makes it seem easy now.

Answer 28

so when grouping ,

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

Answer 29

we just expanded -19q :)

Answer 30

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

Answer 31

aha!

Answer 32

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

Answer 33

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

Answer 34

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

Answer 35

what are we trying to do?

Answer 36

same thing factor it out completely

Answer 37

I see.

Answer 38

one moment :)

Answer 39

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

Answer 40

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

Answer 41

is that what we are trying to factor?

Answer 42

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

Answer 43

^2

Answer 44

we have an exponent ^2

Answer 45

yes on the first a +b

Answer 46

yup, so we can't combine

Answer 47

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

Answer 48

ok I need all the help I can get:)

Answer 49

@DebbieG We may need your help :)

Answer 50

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

Answer 51

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

Answer 52

thank you for the help

Answer 53

Just start another session :)

Answer 54

bye :)

Answer 55

ok I will