(adsbygoogle = window.adsbygoogle || []).push({}); Factoring problems...

1.

Having problems with factoring almost got it except this 2

(3x^3+21x^2+36x)/ 3x^4+12x^3-27x^2-108x ( Edited)

3. The attempt at a solution

the numerator 3x^3+21x^2+36x I can see the factor right away its 3x so 3x(x^2+7x+12) and for new denominator that I mixed (sorry for that) it has the same factor 3x inside so 3x(x^3+4x^2-9x-36) so we can cancel the 3x on both sides so now we have

(x^2+7x+12)/(x^3+4x^2-9x-36)

back to the numerator we can factor it into (x+4)(x+3) and for the denominator we can us eone of the factors from the top and after trial and error I use (x+4) and (x^2-9) because after u multiply them you get the denominator so now we have

(x+4)(x+3)/(x+4)(x^2-9)

we can cross x+4 now so we have (X+3)/(x^2-9) and after factoring the denaminator we have (x-3)(x+3) so now we cross out (x+3)

and we have our answer 1/(x-3)

another similar problem that I dont get

2.

4x^4-25

---------

6x^3-4x^2+15x-10

3. The attempt at a solution

numerator can be factored into (2x^2-5)(2x^2+5) and since there no further way to factor it I will try to use one of the factors from it for the denaminator so after trial and error I used

(2x^2+5) and 3x-2 so now I can cross out 2x^2+5 and I have my answer because I cannot factor any further 2x^2-5/3x-2

Sorry for my careless mistakes even in the title

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Factoring peoblems

**Physics Forums | Science Articles, Homework Help, Discussion**