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Divide. If there is a remainder, include it as a simplified fraction.\newline(9w2+w)÷w(9w^2 + w) \div w

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Q. Divide. If there is a remainder, include it as a simplified fraction.\newline(9w2+w)÷w(9w^2 + w) \div w
  1. Divide by ww: First, we need to divide each term in the polynomial by the monomial ww.9w2+ww=9w2w+ww\frac{9w^2 + w}{w} = \frac{9w^2}{w} + \frac{w}{w}
  2. Divide 9w29w^2: Now, let's divide 9w29w^2 by ww.(9w2)÷w=9w(21)=9w(9w^2) \div w = 9w^{(2-1)} = 9w
  3. Divide ww: Next, we divide ww by ww.\newlinew÷w=1w \div w = 1
  4. Combine results: Combine the results of the division of each term.\newline(9w2÷w)+(w÷w)=9w+1(9w^2 \div w) + (w \div w) = 9w + 1

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