SOLUTION: I'm wondering how to solve this. I don't understand how to get the rest of the roots. Solve: (c^3) + (c^2) - 7c -3 = 0, given root -3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I'm wondering how to solve this. I don't understand how to get the rest of the roots. Solve: (c^3) + (c^2) - 7c -3 = 0, given root -3      Log On


   

Question 757017: I'm wondering how to solve this. I don't understand how to get the rest of the roots.
Solve:
(c^3) + (c^2) - 7c -3 = 0, given root -3
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If is a root of , then must be a factor of

Use either polynomial long division (Purple Math Polynomial Long Division) to derive the other (quadratic) factor by dividing by , or by using synthetic division ((Purple Math Synthetic Division) to find the coefficients of the quadratic factor. Either way, solve the resulting quadratic equation. The roots will be irrational, so you will not be able to solve by factoring; use Completing the Square or the Quadratic Formula.

John

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