Question

polynomial by the monomial using the distributive property and/or the product rule of exponents.

\\(2x)(-2x^2 - 2x - 1)\\

Explanation:

Distribute the monomial to each term

Using the Multiplying Monomial by Polynomial knowledge point

$$ (2x)(-2x^2 - 2x - 1) = (2x)(-2x^2) + (2x)(-2x) + (2x)(-1) $$

Multiply the individual terms

Using the Product Rule of Exponents knowledge point

$$
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$$

Combine the simplified terms

Using the Multiplying Monomial by Polynomial knowledge point

$$ -4x^3 - 4x^2 - 2x $$

Answer:

\(-4x^3 - 4x^2 - 2x\)