Question

Need help with dividing polynomials
2x^2+16x+30/5x^2+13x-6

Answer 1

(2x+6)(x+5) the dashed line is the fraction, this may make it easier
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(5x-2)(x+3)

Answer 2

my problem is more of a "its hard to factor with so many numbers...

Answer 3

"

Answer 4

why is it harder to factor to factor with so many numbers? both the numerator and denominator are quadratics. do you knpw how to factor a quadratic?

Answer 5

its really simple actually one you get past factoring but that got me too

Answer 6

sorry its actually my question but i didnt have an account until a minute ago

Answer 7

its just confusing thats all

Answer 8

so did you get the answer or not?

Answer 9

still looking at it trying to piece together what i know with what i learned in class

Answer 10

no:(

Answer 11

okay, do you know how to factor quadratic polynomials?

Answer 12

yes ... ok so is it 2 (x+5)/5x-2?

Answer 13

i just hav trouble when the leading coefficient is >1

Answer 14

okay, notice that 2x^2+16x+30 has a common factor of 2
so take the 2 out. your expression become 2(x^2+8x+15)
leading coefficients also work the same way as normal quadratics.
http://www.youtube.com/watch?v=eF6zYNzlZKQ

Answer 15

but what about the denominator

Answer 16

sorry i meant when there is no gcf other than 1

Answer 17

5x^2+13x-6 = 5x^2 +15x-2x -6 = 5x(x+3)-2(x+3)=(5x-2)(x+3)
multiply the end terms. in this case, they are 5 and -6, giving -30.
split the middle term such that the product of the split is the same as the product of the end term
so we split 13x as 15x-2x. because 15 *(-2) = -30

Answer 18

so 5*-6=-30 and just guess and check for the factors of -30?

Answer 19

(2x+6)(x+5)
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(5x-2)(x+3)

Answer 20

@niel, that is right

Answer 21

ok well thanks... ill come back if i need help again. this is an amazing site, glad hayley showed me