Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
x^3 + 3x^2 - 10x - 24 ÷ x + 6

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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. x^3 + 3x^2 - 10x - 24 ÷ x + 6

SnapAndSolve AI · Accepted Answer

To divide the polynomial x^3 + 3x^2 - 10x - 24 by x + 6, use synthetic division: Write the coefficients of the dividend: 1, 3, -10, -24. Use the zero of the divisor, which is -6. Perform synthetic division: Steps: Bring down the leading coefficient: 1. Multiply -6 by 1, add to the next coefficient: 3 + (-6) = -3. Multiply -6 by -3, add to the next coefficient: -10 + 18 = 8. Multiply -6 by 8, add to the next coefficient: -24 + (-48) = -72. The quotient is x^2 - 3x + 8 with a remainder of -72.Thus, the division result is:x^2 - 3x + 8 - 72/(x + 6)

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

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