Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(5r^4 - 44r^3 - 74r - 64) ÷ (r - 9)

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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. (5r^4 - 44r^3 - 74r - 64) ÷ (r - 9)

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To divide the polynomial (5r^4 - 44r^3 - 74r - 64) by (r - 9), we use polynomial long division: Divide the first term of the dividend by the first term of the divisor: 5r^4 ÷ r = 5r^3. Multiply the entire divisor by this result: 5r^3 * (r - 9) = 5r^4 - 45r^3. Subtract this from the original polynomial: (5r^4 - 44r^3) - (5r^4 - 45r^3) = r^3. Bring down the next term: r^3 - 74r. Repeat the process: r^3 ÷ r = r^2. Multiply and subtract: r^2 * (r - 9) = r^3 - 9r^2, then (r^3 - 74r) - (r^3 - 9r^2) = 9r^2 - 74r. Continue this process until all terms are divided. The final quotient is 5r^3 + r^2 + 9r + 7 with a remainder of 1. Express the remainder as a fraction: 1/(r - 9). Thus, the result is 5r^3 + r^2 + 9r + 7 + 1/(r - 9).

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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. (5r^4 - 44r^3 - 74r...

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