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Divide.\newline(8x2+48x)÷(x6)(-8x^2 + 48x) \div (x - 6)

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Q. Divide.\newline(8x2+48x)÷(x6)(-8x^2 + 48x) \div (x - 6)
  1. Identify dividend and divisor: Identify the dividend and the divisor.\newlineDividend: 8x2+48x-8x^2 + 48x\newlineDivisor: x6x - 6
  2. Set up division fraction: Set up the division as a fraction.\newline(8x2+48x)÷(x6)=8x2+48xx6(-8x^2 + 48x) \div (x - 6) = \frac{-8x^2 + 48x}{x - 6}
  3. Perform polynomial division: Perform polynomial long division or synthetic division.\newlineFirst, divide 8x2-8x^2 by xx to get 8x-8x.
  4. Multiply and subtract: Multiply 8x-8x by (x6)(x - 6) and subtract from the dividend.\newline8x×x=8x2-8x \times x = -8x^2\newline8x×6=48x-8x \times -6 = 48x\newlineSubtracting we get 00, since 8x2(8x2)=0-8x^2 - (-8x^2) = 0 and 48x48x=048x - 48x = 0.
  5. Check for remainder: Since there is no remainder, the result of the division is 8x-8x.

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