Respuesta :

f(x) = x^3 + 2x^2 - x - 2 
f(x) = x^2(x + 2) - (x + 2) 
f(x) = (x^2 - 1)(x + 2) 
f(x) = (x + 1)(x - 1)(x + 2) 
Roots: -1, 1, -2 

The Roots of the given polynomials shown below f(x)=x^3+2x^2-x-2 are -1, 1, -2.

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and nonnegative exponentiation of variables involved.

Example:

x^2 + 3x + 5

is a polynomial.

The given polynomials

[tex]f(x) = x^3 + 2x^2 - x - 2 \\f(x) = x^2(x + 2) - (x + 2) \\\\f(x) = (x^2 - 1)(x + 2) \\f(x) = (x + 1)(x - 1)(x + 2)[/tex]

The Roots of the polynomials : -1, 1, -2

Learn more about polynomials here:

https://brainly.com/question/27343162

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