Question

The polynomial function with rational coefficients has roots of: –2, √3, and - √3.

What is the equation?
f(x)= _____
(x + 2)(x - 2)(x + √3) a
(x + 2)(x +√3)(x - √3) b
(x - 2)(x +√3)(x - √3) c
(x + 2)(x - 2)(x + √3)(x -√3) d

Answer 1

= (x+2) (x- √3) ( x+√3)

Explanation:

The polynomial has roots of -2 √3, and - √3.

The polynomial can be written as

f(x) = (x-a) (x-b) (x-c) where a b and c are the roots

f(x) = (x--2) (x- √3) ( x--√3)

= (x+2) (x- √3) ( x+√3)