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X³ + 3x² + 2x - 210=0solve the quadratic equation |
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Answer» Answer: X = 5 x(x + 1)(x + 2) = 210
Use FOIL on the binomial terms.
x(x2 + 3x + 2) = 210
Distribute the x to the terms in parenthesis.
x3 + 3x2 + 2X = 210
Subtract 210 to both sides of the equation to make the right side equal to zero.
x3 + 3x2 + 2x - 210 = 0
Use synthetic DIVISION to find a quadratic factor.
5 | 1 3 2 -210
5 40 210 _______________________________ 1 8 42 0
So you have
(x - 5)(x2 + 8X + 42) = 0
One of your solutions is x=5
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