Question

Multiply as indicated. Express your answer as a single polynomial in standard form. -3x⁴(3x⁵+9)

Answer 1

Multiply -3x⁴(3x⁵+9) by distributing -3x⁴ to each term inside the parentheses and then combining the two terms which leads to -9x⁹ - 27x⁴. This is the single polynomial in standard form.

Step-by-step explanation:

To multiply -3x⁴(3x⁵+9) as indicated, we need to distribute -3x⁴ to both terms inside the parentheses. This means we multiply -3x⁴ with each term inside the parentheses:

First, multiply -3x⁴ with 3x⁵:

-3x⁴ * 3x⁵ = -9x⁹

Next, multiply -3x⁴ with 9:

-3x⁴ * 9 = -27x⁴

Now, we combine the two terms to get our simplified answer:

-9x⁹ - 27x⁴

Hope this help you in your query.

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