Q. Divide. If there is a remainder, include it as a simplified fraction.(−18g3−4g2+18g)÷2g
Divide by 2g: We have the expression (−18g3−4g2+18g)÷2g. To divide a polynomial by a monomial, we divide each term of the polynomial by the monomial separately.(\(-18g^3 - 4g^2 + 18g) \div 2g = (−18g^3/2g) - (4g^2/2g) + (18g/2g)
Divide −18g3 by 2g: Now let's divide the first term: −18g3 divided by 2g.−18g3/2g=−18/2×g3/g=−9g2
Divide −4g2 by 2g: Next, we divide the second term: −4g2 divided by 2g.−4g2/2g=−4/2×g2/g=−2g
Divide 18g by 2g: Finally, we divide the third term: 18g divided by 2g. 2g18g=218×gg=9
Combine results: Combining all the results, we get the final answer: (−18g3−4g2+18g)÷2g=−9g2−2g+9
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