Question 678473: Find a polynomial function of lowest degree with integer coefficients that has the given zeros.
5, −6, 2
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Find a polynomial function of lowest degree with integer coefficients that has the given zeros.
5, −6, 2
.
If you have the above zeros, then the factors must be:
(x-5)(x+6)(x-2)
multiplying them together gives the polynomial.
(x-5)(x+6)(x-2)
(x^2+x-30)(x-2)
x^2(x-2) + x(x-2) - 30(x-2)
(x^3-2x^2) + (x^2-2x) - (30x-60)
x^3-2x^2 + x^2-2x - 30x+60
x^3-x^2 -2x - 30x+60
x^3-x^2-32x+60
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