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.

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) (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)
RELATED QUESTIONS
how do you write this polynomial in standard form 2x-3x squared +6+5x cubed (answered by rfer)

How do I factor 3X "cubed" - 10X "squared" - 8X -240 = 0 ?? Thank you. Respectfly, (answered by Alan3354)

I don;t know how to do that... x cubed-27 divided by x cubed-3x... (answered by mangopeeler07)

2x cubed - x squared - 18x+9 =... (answered by Abbey)

How do you solve x cubed minus 3x squared plus 2x minus 8 divided by x squared plus two (answered by richwmiller)

Factor completely x(cubed)- 2x(squared) + x (answered by Cromlix)

Factor x cubed plus 2x... (answered by ikleyn)

factorise x cubed + 2x squared - 2x - 4 and find the exact value of each of the solutions (answered by gsmani_iyer)

solve the equation x cubed-3x... (answered by khwang)