SOLUTION: Find the real or imaginary solution of each equation by factoring. 1: X^3 + 2x^2 + 5x + 10 = 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the real or imaginary solution of each equation by factoring. 1: X^3 + 2x^2 + 5x + 10 = 0       Log On


   

Question 956777: Find the real or imaginary solution of each equation by factoring.
1: X^3 + 2x^2 + 5x + 10 = 0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the real or imaginary solution of each equation by factoring.
1: X^3 + 2x^2 + 5x + 10 = 0
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I graphed it and found a Real root at x = -2
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Then, using synthetic diviaion got::
-2)....1....2....5....10
.......1....0....5...|..0
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Quotient:: x^2 + 5
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Factored form::
f(x) = (x+2)(x^2+5)
Factor to get:
Ans: (x+2)(x+sqrt(5)i)(x-sqrt(5)i)
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Cheers,
Stan H.
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