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x^(3)-3x^(2)-10x+24 FInd all zeros 

 Nov 9, 2016
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Solve for x:
x^3-3 x^2-10 x+24 = 0

The left hand side factors into a product with three terms:
(x-4) (x-2) (x+3) = 0

Split into three equations:
x-4 = 0 or x-2 = 0 or x+3 = 0

Add 4 to both sides:
x = 4 or x-2 = 0 or x+3 = 0

Add 2 to both sides:
x = 4 or x = 2 or x+3 = 0

Subtract 3 from both sides:
Answer: |x = 4      or      x = 2      or      x = -3

 Nov 9, 2016

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