SOLUTION: How do you factor the following two polynomial equations: x cubed + 2x squared - 5x - 6 = 0 3x cubed -2x squared - 75x + 50 = 0 I really appreciate any help I can get.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you factor the following two polynomial equations: x cubed + 2x squared - 5x - 6 = 0 3x cubed -2x squared - 75x + 50 = 0 I really appreciate any help I can get.       Log On


   

Question 602857: How do you factor the following two polynomial equations:
x cubed + 2x squared - 5x - 6 = 0
3x cubed -2x squared - 75x + 50 = 0
I really appreciate any help I can get.
Thank you,
Jen Zinter
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
break into parts ___ (x^3 + x^2) + (x^2 - 5x - 6)

factor ___ x^2(x + 1) + (x + 1)(x - 6)

rearrange ___ (x + 1)(x^2 + x - 6)

factor (again) ___ (x + 1)(x + 3)(x - 2)


(3x^3 - 2x^2) - (75x - 50) ___ careful with the signs

x^2(3x - 2) - 25(3x - 2)

(3x - 2)(x^2 - 25)

difference of squares ___ (3x - 2)(x + 5)(x - 5)