DeadShot
What are the approximate real number solution(s) to the polynomial function f(x) = x^3 + 2x^2 - 5x - 6?
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120210
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2 is one solution.
DeadShot
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okay, thanks!
calmat01
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The factors of the constant at the end of your equation are the possible solutions to this problem. What are the different factors of 6?
DeadShot
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1, 2, 3, and 6
calmat01
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Right. Both positive and negative, so you have 8 possible solutions.
DeadShot
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ok, so is the group x = 3, x = 1, and x = -2 a possibility?
calmat01
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Since this is a third degree polynomial, there can only be three. And since you know one is 2, use synthetic division to find the others. Yes, the group you listed is certainly a possibility.
DeadShot
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okay, thanks!
calmat01
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You are welcome.