Question

The function f(x) is a cubic function and the zeros of f(x) are 5 −5, 1 Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.

Answer 1

The polynomial in standard form is,

`x^3-x^2-25x+25`

Explanation:

f(x) is a cubic function.

Its zeroes are 5, -5, and 1.

hence we can write its factors as,

(x - 5)(x + 5)(x - 1)

Which gives,

`(x^2 - 25)(x-1)\\=x^3-x^2-25x+25`

This is the standard form