Identify dividend and divisor: Identify the dividend and the divisor.Dividend: −8x2+48xDivisor: x−6
Set up division fraction: Set up the division as a fraction.(−8x2+48x)÷(x−6)=x−6−8x2+48x
Perform polynomial division: Perform polynomial long division or synthetic division.First, divide −8x2 by x to get −8x.
Multiply and subtract: Multiply −8x by (x−6) and subtract from the dividend.−8x×x=−8x2−8x×−6=48xSubtracting we get 0, since −8x2−(−8x2)=0 and 48x−48x=0.
Check for remainder: Since there is no remainder, the result of the division is −8x.
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