x^3-2x^2-11x+12 is the polynomial function
Given zeros of a polynomial are 1,-3, 4
What is zero of a polynomial?
The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero
So,
Given zeros =1,-3, 4
x=1,-3,4
(x-1)=(x+3)=(x-4)=0
We need to multiply (x-1),(x+3),(x-4) to get the polynomial function
(x-1)(x+3)(x-4)=0
(x-1)(x^2-4x+3x-12)
(x-1)(x^2-x-12)
x^3-x^2-12x-x^2+x+12
x^3-2x^2-11x+12
Therefore x^3-2x^2-11x+12 is the polynomial function
To learn more about zeroes of a polynomial click here:https://brainly.com/question/4267904
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