Mathematics
22 Online
OpenStudy (anonymous):
Help? (3x^2 - 11x - 20)/(x^2 - 6x +5)
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
factor numerator
factor denomoninator
ganeshie8 (ganeshie8):
and see if somethings cancel out
OpenStudy (anonymous):
I don't know how...
ganeshie8 (ganeshie8):
il help u factor numerator,
you're going to factor denominator.
deal ? :)
OpenStudy (anonymous):
Okay
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
3x^2 - 11x - 20
tell me two numbers such that :-
1) product = -20*3 = -60
2) sum = -11
OpenStudy (anonymous):
Uhh, 5 and 6 ? Idk
ganeshie8 (ganeshie8):
5*6 \(\ne\) -60
ganeshie8 (ganeshie8):
you need to look for factors of 60
ganeshie8 (ganeshie8):
-15*4 = -60
-15+4 = 11
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
so, -15 and 4 are our magic numbers
OpenStudy (anonymous):
4 and 15
ganeshie8 (ganeshie8):
yes,
4 and -15
ganeshie8 (ganeshie8):
3x^2 - 11x - 20
3x^2 - 15x + 4x - 20
ganeshie8 (ganeshie8):
i just wrote -11x as, -15x + 4x
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
fine ?
ganeshie8 (ganeshie8):
3x^2 - 11x - 20
3x^2 - 15x + 4x - 20
-------- -------
3x(x-5) + 4(x-5)
OpenStudy (anonymous):
Oh
ganeshie8 (ganeshie8):
3x^2 - 11x - 20
3x^2 - 15x + 4x - 20
-------- -------
3x(x-5) + 4(x-5)
---- ----
(x-5)(3x+4)
ganeshie8 (ganeshie8):
Done.
let me knw if u really get my cryptic thing above :o
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
I do. It's just hard for me since we just started this.
OpenStudy (anonymous):
For the denominator, after factoring, would it be
x^2 - 3x + 2x +5 ?
ganeshie8 (ganeshie8):
x^2 - 6x +5
u need to find two numbers such that :-
1) product = 5*1 = 5
2) sum = -6
ganeshie8 (ganeshie8):
firs tell me,
wat are the two magical numbers u picked
OpenStudy (anonymous):
Oooh, I did it wrong, I mixed them up. But it'd be -5 and 1
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
its -5 and -1
OpenStudy (anonymous):
Yeah.
ganeshie8 (ganeshie8):
try it again :)
OpenStudy (anonymous):
What
ganeshie8 (ganeshie8):
factor the denominator
remember our deal ? :o
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
Right
OpenStudy (anonymous):
(x - 5)(5 - x) ?
ganeshie8 (ganeshie8):
step by step
OpenStudy (anonymous):
That's wrong..
ganeshie8 (ganeshie8):
x^2 - 6x +5
x^2 -1x - 5x + 5
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
i just wrote -6x as, -1x-5x
ganeshie8 (ganeshie8):
x^2 - 6x +5
x^2 -1x - 5x + 5
------ ------
ganeshie8 (ganeshie8):
pull out GCF from first two terms
pull out GCF from last two terms
OpenStudy (anonymous):
2 and 5 ?
ganeshie8 (ganeshie8):
first two terms, we can pull out oly x
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
x^2 - 6x +5
x^2 -1x - 5x + 5
------ ------
x(x-1) - 5(x-1)
---- ----
(x-1)(x-5)
OpenStudy (anonymous):
Okay. I hope I can do the next one on my own
OpenStudy (anonymous):
Thanks :)
ganeshie8 (ganeshie8):
good :)
factoring takes practice, just work 2-3 more problems. u wil feel confident im sure :)
OpenStudy (anonymous):
I'll try
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
good luck !