Multiply the polynomials (x-5) (x^2+4x-2)

x^3-x^2-22x+10

Step-by-step explanation:

To multiply the polynomials, we can expand it by using the distributive property.

So we have:

x (x^2) + x (4x) + x (-2) + (-5) (x^2) + (-5) (4x) + (-5) (-2)

Simplifying, we get

x^3+4x^2-2x-5x^2-20x+10

Combining like terms, we get

x^3-x^2-22x+10

So (x-5) (x^2+4x-2) = x^3-x^2-22x+10.