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Divide. If the polynomial does not divide evenly, include the remainder as a fraction.\newline(6g+49)÷(g10)(-6g + 49) \div (g - 10)\newline______

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Q. Divide. If the polynomial does not divide evenly, include the remainder as a fraction.\newline(6g+49)÷(g10)(-6g + 49) \div (g - 10)\newline______
  1. Set up division: First, set up the long division with (6g+49)(-6g + 49) inside the division symbol and (g10)(g - 10) outside.
  2. Divide and multiply: Divide 6g-6g by gg to get 6-6, then multiply (g10)(g - 10) by 6-6 and write the result under (6g+49)(-6g + 49).\newline6g÷g=6-6g \div g = -6\newline6×(g10)=6g+60-6 \times (g - 10) = -6g + 60
  3. Subtract to find remainder: Subtract (6g+60)(-6g + 60) from (6g+49)(-6g + 49) to find the remainder.\newline(6g+49)(6g+60)=11(-6g + 49) - (-6g + 60) = -11
  4. Write final result: Write the result as 6-6 with a remainder of 11-11.\newlineSo, (6g+49)÷(g10)=6(-6g + 49) \div (g - 10) = -6 with a remainder of 11-11.\newlineTo express the remainder as a fraction, put 11-11 over (g10)(g - 10).
  5. Express remainder as fraction: The final answer is 6-6 with a remainder of 11g10-\frac{11}{g - 10}.

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