Question

construct a polynomial function with the stated properties. reduce all fractions to lowest terms. fourth-degree and a single zero of 3.

Answer 1

If a polynomial function has a zero of 3, then one of its factors is (x - 3).

If there is only one zero and the degree of the polynomial is 4, then we simply have to raise the factor (x - 3) by 4.

So, the polynomial function is f(x) = (x - 3)⁴.

`f(x)=(x-3)^4`