Q. Divide. If the polynomial does not divide evenly, include the remainder as a fraction.(19w2+143w−76)÷(w+8)_____
Multiply and Subtract: Multiply the divisor w+8 by the quotient found 19w to subtract from the dividend.19w×(w+8)=19w2+152w.
Subtract Result: Subtract the result from the dividend.(19w2+143w−76)−(19w2+152w)=−9w−76.
Divide First Term: Divide the new first term of the remainder by the first term of the divisor.(−9w)÷(w)=−9.
Multiply and Subtract Again: Multiply the divisor w+8 by the new quotient found −9 to subtract from the remainder.−9×(w+8)=−9w−72.
Subtract Result Again: Subtract the result from the remainder.(−9w−76)−(−9w−72)=−4.
Final Quotient and Remainder: Since −4 is less than the degree of the divisor (w+8), we cannot divide further, so −4 is the remainder.The final quotient is 19w−9 with a remainder of −4.
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