Answer :
Final answer:
To divide the given expression (24x⁷-9x⁴)/(3x³), we perform the division for each term separately resulting in the simplified expression as 8x⁴ - 3x.
Explanation:
In mathematics, to divide a polynomial by a monomial, you can divide each term in the polynomial separately. In your question, you're being asked to divide (24x⁷-9x⁴)/(3x³). To solve this, divide each term of the polynomial by the monomial, i.e., 24x⁷ by 3x³ and -9x⁴ by 3x³. This simplifies to 8x⁴ - 3x. Hence, the simplified form of (24x⁷-9x⁴)/(3x³) is 8x⁴ - 3x.
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