SOLUTION: find a third degree equation that has a solution set of (4,5,-8)

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Question 750888: find a third degree equation that has a solution set of (4,5,-8)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x = 4 or x = 5 or x = -8

x - 4 = 0 or x - 5 = 0 or x + 8 = 0

(x - 4)(x - 5)(x + 8) = 0

(x - 4)(x^2 + 3x - 40) = 0

x(x^2 + 3x - 40) - 4(x^2 + 3x - 40) = 0

x^3 + 3x^2 - 40x - 4x^2 - 12x + 160 = 0

x^3 - x^2 - 52x + 160 = 0

Final Answer: y = x^3 - x^2 - 52x + 160