Question 269305: How do you use the quadratic formula to find roots of an equation with four terms? (x to the third -2xsquared + 16x -32) Found 2 solutions by Alan3354, stanbon:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The quadratic applies only to 2nd order equations.
For cubics and quartics, look for info on google.
They're a LOT more tedious.
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f(x) =
For this one, the 32 is a clue. Look for roots that are powers of 2.
2 is one.
f(2) = 0
Then divide it by (x-2) and solve the quadratic.
You can put this solution on YOUR website! How do you use the quadratic formula to find roots of an equation with four terms? (x to the third -2xsquared + 16x -32)
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You don't; it is not a quadratic.
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Solve x^3 - 2x^2 + 16x - 32 = 0
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Factor the 1st two and the last two terms separately:
x^2(x-2) + 16(x-2) = 0
Factor Again:
(x-2)(x^2+16) = 0
(x-2)(x+4i)(x-4i) = 0
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x = 2 or x = -4i or x = +4i
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Cheers,
Stan H.
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