Question

Write the simplest polynomial function for each set of zeros

Zeros = -2, 5, -1

Answer 1

The polynomial is ;

x^3 -2x^2 -13x - 10

Explanation:

Given the zeros, we set them to equal zero so as to get the linear factors

Mathematically, that will be as follows;

x = -2

x + 2

x = 5

x-5

x = -1

x + 1

So we have the polynomial as;

(x + 1)(x + 2)(x-5)

= (x -5)(x^2 + 3x + 2)

= x^3+ 3x^2 + 2x -5x^2 -15x - 10

= x^3 -2x^2 -13x - 10