Q. Divide. If the polynomial does not divide evenly, include the remainder as a fraction.(d3−11d2+18d)÷(d−9)______
Set Up Long Division: First, set up the long division by writing (d3−11d2+18d) under the division bar and (d−9) outside.
Divide First Terms: Divide the first term of the dividend, d3, by the first term of the divisor, d, to get d2. Write d2 above the division bar.
Multiply and Subtract: Multiply the divisor (d−9) by the quotient d2 and write the result under the dividend: d2×(d−9)=d3−9d2.
Divide New Dividend: Subtract (d3−9d2) from (d3−11d2) to get the new dividend: −2d2+18d.
Multiply and Subtract: Divide the first term of the new dividend, −2d2, by the first term of the divisor, d, to get −2d. Write −2d above the division bar next to d2.
Check for Remainder: Multiply the divisor (d−9) by the new quotient −2d and write the result under the new dividend: −2d×(d−9)=−2d2+18d.
Check for Remainder: Multiply the divisor (d−9) by the new quotient −2d and write the result under the new dividend: −2d×(d−9)=−2d2+18d. Subtract (−2d2+18d) from (−2d2+18d) to get the new dividend, which is 0. There is no remainder.
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