Final answer:
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.
Learn more about Multiplying polynomials