Question

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

\\((x)(-3x^2 + 6x - 9)\\)

Explanation:

Distribute the monomial to each term

Using the Distributive Property with Polynomials and Multiplying Monomial by Polynomial knowledge points

$$ (x)(-3x^2 + 6x - 9) = (x)(-3x^2) + (x)(6x) + (x)(-9) $$

Apply exponent rules to simplify 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

$$ -3x^3 + 6x^2 - 9x $$

Answer:

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

$$(x)(-3x^2 + 6x - 9) =$$

<blank>\(-3x^3 + 6x^2 - 9x\)</blank>