Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(-7g^5 + 36g^4 - 32g^3 + 15g^2 - 60g) ÷ (g - 4)

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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. (-7g^5 + 36g^4 - 32g^3 + 15g^2 - 60g) ÷ (g - 4)

SnapAndSolve AI · Accepted Answer

To divide the polynomial -7g^5 + 36g^4 - 32g^3 + 15g^2 - 60g by g - 4, we use polynomial long division: Divide the first term of the dividend by the first term of the divisor: -7g^5 ÷ g = -7g^4. Multiply the entire divisor by this result: -7g^4(g - 4) = -7g^5 + 28g^4. Subtract this from the original polynomial: (-7g^5 + 36g^4) - (-7g^5 + 28g^4) = 8g^4. Bring down the next term: 8g^4 - 32g^3. Repeat the process: 8g^4 ÷ g = 8g^3. Multiply: 8g^3(g - 4) = 8g^4 - 32g^3. Subtract: (8g^4 - 32g^3) - (8g^4 - 32g^3) = 0. Bring down the next term: 15g^2. Repeat: 15g^2 ÷ g = 15g. Multiply: 15g(g - 4) = 15g^2 - 60g. Subtract: (15g^2 - 60g) - (15g^2 - 60g) = 0. The division is exact, and the quotient is -7g^4 + 8g^3 + 15g with no remainder.

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Divide. If the polynomial does not divide evenly, include the remainder as a fraction. (-7g^5 + 36g^4 -...

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