Question

Write an equation, a function, and the factors for a polynomial function which has zeros of 7 and 9.

Answer 1

Given:

Zeros of the function are 7 and 9

To find:

An equation,a function and the factors for a polynomial function.

Explanation:

Zeros of the polynomial can be easily written as factors.

Factors of the polynomial function are:

$(x-7)\text{ and (x-9)}$

An Equation of the zeros is

$\begin{gathered} (x-7)\text{(x-9)}=0 \\ x^2-9x-7x+63=0 \\ x^2-16x+63=0 \end{gathered}$

Function is

$y=x^2-16x+63$

Therefore, final answer is

$\begin{gathered} x^2-16x+63=0,y=x^2-16x+63 \\ (x-7)\text{ and (x-9)} \end{gathered}$