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.

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