Question

Find a polynomial function of degree 3 with -2, 2, 4 as zeroes.

Answer 1

Answer:
`y = (x + 2)(x - 2)(x -4)`

Explanation:

The third degree of an equation means that the highest degree variable in the equation equals 3. In this case, it means you need three "x" variables.

To get zeroes in a polynomial, make the equation equal zero when plugging in each variable. For -2, make the equation equal (x + 2), so when x = -2, y = 0.

Do this for the remaining variables, and you have your polynomial function with a degree of 3.

Answer 2

`f(x)=(x+2)(x-2)(x-4)`

Explanation:

The negative of a 0 can be used to build a bracket for a polynomial.