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Polynomials and rational expressions test

An 11th-grade test on polynomials and rational expressions for practice includes questions on adding polynomials, factoring, identifying degrees, and leading coefficients. Students demonstrate their understanding through solving expressions, factoring quadratics, and analyzing polynomial features.

By Edform · Mathematics · Grade 11 · Published Oct 15, 2026 · New

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Questions

  1. Which of the following is the result of (2x² + 3x - 5) + (x² - 4x + 7)?
  2. Which of the following are factors of x² - 9x + 20?
  3. The degree of the polynomial 4x³ - 7x² + 2x - 1 is 3.
  4. What is the leading coefficient of the polynomial 6x⁴ - 2x³ + 9?
  5. Which expression is equivalent to (x² - 16)/(x - 4)?
  6. Select all polynomials below that are written in standard form.
  7. The polynomial x² + 6x + 9 is a perfect square trinomial.
  8. What is the remainder when 2x³ - 5x² + 4x - 7 is divided by x - 2?
  9. Simplify: (3x²y - 2xy²) - (x²y + 4xy²). What is the coefficient of xy² in the result?
  10. Which of the following is the greatest common factor (GCF) of 12x³ and 18x²?
  11. The rational expression (x² - 1)/(x + 1) simplifies to x - 1.

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