SOLUTION: How do you use the quadratic formula to find roots of an equation with four terms? (x to the third -2xsquared + 16x -32)

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.

Answer by stanbon(75887) (Show Source): 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
================================
Cheers,
Stan H.
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