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MA.912.AR.1.4 · Non-linear Relationships

Dividing a Polynomial by a Monomial: Sample Algebra 1 EOC Questions

Dividing by a monomial means dividing every term, coefficients and variables alike, and simplifying the exponents with the quotient rule. Students carry rational coefficients through the process.

How the Algebra 1 EOC tests this benchmark

The dividend is limited to two or three terms and the divisor is always a monomial, so no long division appears on the Algebra 1 EOC. The classic error the distractors capture is dividing only the first term of the dividend. Equation editor items accept any equivalent expression, so an answer written with negative exponents may still score.

Skills students need

  • Divide each term of the dividend by the monomial
  • Apply the quotient rule to exponents
  • Simplify rational coefficients
  • Recognize an equivalent simplified form

Try 6 real MA.912.AR.1.4 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice
Divide. 20x416x24x2\dfrac{20x^4 - 16x^2}{4x^2}

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MA.912.AR.1.4: Polynomial Division Practice | Algebro