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Math Asked by a SnapAndSolve user · about 1 hour ago

Divide. If the polynomial does not divide evenly, include the remainder as a fraction. (-8w - 37) ÷ (w + 5)

Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(-8w - 37) ÷ (w + 5)

Answer

To divide the polynomial, use polynomial long division:

Divide the first term of the dividend by the first term of the divisor: -8w ÷ w = -8.
Multiply the entire divisor by this result: (w + 5) × -8 = -8w - 40.
Subtract this from the original polynomial: (-8w - 37) - (-8w - 40) = 3.
The quotient is -8 and the remainder is 3.

Thus, the result is: -8 + 3/(w + 5).

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