Question 599422: Find a polynomial function of degree 3 with -1,3,4 as zeros.
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Find a polynomial function of degree 3 with -1,3,4 as zeros.
if zeros are at: -1,3,4
we conclude that the "factors" of the polynomial must be:
(x+1)
(x-3)
(x-4)
.
multiplying all three factors above we get our polynomial:
(x+1)(x-3)(x-4)
(x^2-2x-3)(x-4)
x(x^2-2x-3)-4(x^2-2x-3)
(x^3-2x^2-3x)-(4x^2-8x-12)
x^3-2x^2-3x-4x^2+8x+12
x^3-6x^2-3x+8x+12
x^3-6x^2+5x+12 (this is what they're looking for)
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