Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
x^3 + 3x^2 - 10x - 24

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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. x^3 + 3x^2 - 10x - 24

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Solution: To divide the polynomial x^3 + 3x^2 - 10x - 24 by a divisor, we need to know the divisor. Assuming the divisor is x + 2 (as an example), we can use synthetic division: Write down the coefficients: 1, 3, -10, -24. Use -2 (the root of x + 2) for synthetic division. Perform the synthetic division: Bring down the 1. Multiply -2 by 1, add to 3: 1, 1. Multiply -2 by 1, add to -10: 1, 1, -12. Multiply -2 by -12, add to -24: 1, 1, -12, 0. The quotient is x^2 + x - 12 with a remainder of 0, indicating it divides evenly.

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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. x^3 + 3x^2 - 10x - 24

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