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Polynomial Factorization Practice Problems

Practice factoring polynomials with various terms. Solve multiplication, division, addition, and subtraction problems. Prove equations by solving both sides.

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Polynomial Factorization Practice Problems

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  1. MTH-4106 Pretest D For questions 1 to 7 factor the following polynomials. 1. x2 3xy  54y2 2. 18x2 21x  22 4. 60a2 – 12a + 45ab  9b

  2. 5. 28a4c2 - 63b6c2 6. 2a2xy - x2y2 + a2y2 - x4 - 2x3y + a2x2 7. 9abx – 12abz - 18cx + 42cz – 9abz

  3. 8. Reduce the following fraction to its lowest terms. 9. Determine the following product. Express answer in its simplest terms.

  4. 10. Determine the following quotient. Express answer in its simplest terms. 11. Determine the following sum. Express answer in its simplest terms.

  5. 12. Determine the following difference. Express answer in its simplest terms. 13. Prove the following by solving the left side.

  6. 14. Prove the following by solving both sides.

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