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Divide by using long division.
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Q. Divide by using long division.
- Set up division: Set up the long division.We will divide the polynomial by the binomial using long division.
- Find quotient: Determine how many times the leading term of the divisor goes into the leading term of the dividend . rac{10x^2}{2x} is rac{5x}{1}. Write rac{5x}{1} above the long division bar.
- Multiply quotient and divisor: Multiply the entire divisor by the quotient found in Step .. Write this result under the dividend.
- Subtract result: Subtract the result of Step from the dividend.. Bring down the next term if necessary.
- Determine new quotient: Determine how many times the leading term of the divisor goes into the new term . rac{14x}{2x} = 7. Write above the long division bar, next to .
- Multiply new quotient: Multiply the entire divisor by the new quotient found in Step .. Write this result under the .
- Subtract result: Subtract the result of Step from the new term .. This is the remainder.
- Write final answer: Write the final answer.The quotient is with a remainder of . The final answer is written as .
