To create a polynomial with zeros of -3, 2, and 4, we first need to set up the factors of the polynomial using the given zeros.
The factors of the polynomial are:
(x + 3), (x - 2), and (x - 4)
Multiplying these factors together, we get:
f(x) = (x + 3)(x - 2)(x - 4)
f(x) = (x^2 + x - 6)(x - 4)
f(x) = x^3 - 4x^2 + x^2 - 4x - 6x +24
f(x) = x^3 - 3x^2 -10x +24
Therefore, the polynomial with zeros of -3, 2, and 4 is:
f(x) = x^3 - 3x^2 - 10x + 24
write a polynomial that has zeros of -3,2,and 4
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