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5-3 Monomial Factors of Polynomial

Learn how to divide polynomials by single common terms to find factors. Practice examples provided for better understanding. Remember, factoring involves dividing into pieces that multiply back to the original. Improve your skills with written exercises included.

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5-3 Monomial Factors of Polynomial

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  1. 5-3 Monomial Factors of Polynomial • Objective: To divide polynomials by a single common term to find factor.

  2. 5-3 Monomial Factors of Polynomial • Objective: To divide polynomials by a single common term to find factor. • Example 1: • 5m + 35 = • 5

  3. 5-3 Monomial Factors of Polynomial • Objective: To divide polynomials by a single common term to find factor. • Example 1: • 5m + 35 = 5m + 35 = • 5 5 5

  4. 5-3 Monomial Factors of Polynomial • Objective: To divide polynomials by a single common term to find factor. • Example 1: Divide: • 5m + 35 = 5m + 35 = m + 7 • 5 5 5

  5. 5-3 Monomial Factors of Polynomial • Objective: To divide polynomials by a single common term to find factor. • Example 1: Divide: • 5m + 35 = 5m + 35 = m + 7 • 5 5 5 • So (m + 7) and 5 are factors of 5m + 35

  6. 5-3 Monomial Factors of Polynomial • Example 1: Divide: • 5m + 35 = 5m + 35 = m + 7 • 5 5 5 • So (m + 7) and 5 are factors of 5m + 35 • 5m + 35 = 5(m + 7)

  7. 5-3 Monomial Factors of Polynomial • Example 1: Divide: • 5m + 35 = 5m + 35 = m + 7 • 5 5 5 • So (m + 7) and 5 are factors of 5m + 35 • 5m + 35 = 5(m + 7) Distribute and we can see it is true. • Remember factoring is dividing into pieces that when multiplied give back original.

  8. 5-3 Monomial Factors of Polynomial • Example 5: Factor: • 5x2 + 10x 

  9. 5-3 Monomial Factors of Polynomial • Example 6: Factor: • 4x5 - 6x3 + 14x 

  10. 5-3 Monomial Factors of Polynomial • Example 7: Factor: • 8a2bc2 - 12ab2c2

  11. 5-3 Monomial Factors of Polynomial Homework Written Exercises page 196 1 – 4 all 31 – 43 odd

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