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Drill #25

Drill #25. Simplify each expression. Drill #26. Find the GCF of the following monomials : Factor each polynomial using the GCF:. Drill #27. Factor each polynomial using the GCF: Factor by Grouping Factor the following trinomials:. Drill #28. Factor each polynomial using the GCF:

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Drill #25

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  1. Drill #25 Simplify each expression.

  2. Drill #26 Find the GCF of the following monomials: Factor each polynomial using the GCF:

  3. Drill #27 Factor each polynomial using the GCF: Factor by Grouping Factor the following trinomials:

  4. Drill #28 Factor each polynomial using the GCF: Factor the following trinomials:

  5. Drill #52 Factor each polynomial :

  6. Drill #53 Factor each polynomial :

  7. Drill #54 Factor each polynomial :

  8. GCF: Monomials To find the GCF of two monomials: • Find the GCF of the coefficients • For each common, the GCF is the common variable with the lower degree • Combine the GCF of the coefficients and the variables together to make one term

  9. GCF Examples: 8-1 Study Guide (even problems) Classwork: 8 – 16 (EVEN)

  10. Factor Polynomials: GCF To factor polynomials: • Find the GCF of all terms in the polynmial • Use the distributive property to undistribute GCF • Factor the remaining expression (if possible)

  11. Factor Polynomials: Factor by Grouping To factor a polynomial by grouping (4 or 6 terms) • GCF Factor the first two (three) terms • GCF factor the last two (three) terms • If there is a common factor between them, factor it (undistribute) Ex: 6ax + 3ay + 2bx + by

  12. Factoring Polynomials* Always GCF factor 1st!!!!!!! 1. GCF Factoring 2. Two Terms: - Difference of Squares - Difference of Cubes - Sum of Cubes 3. Three Terms: Trinomial Factoring 4. Four or More Terms Factor by Grouping

  13. Multiply binomials: What is ( x + 2) (x + 5)?

  14. Trinomial Factoring: Three Terms* Factoring: Where m + n = b and m(n) = c To factor trinomials make a factor sum table!

  15. Trinomial Factoring Examples* Example 1a, b: 8-3 Study Guide Classwork: 2-8 (even)

  16. Factoring Trinomials with 2 2nd Degree Terms Example:#20

  17. Trinomial Factoring: Three Terms*: Factor by Grouping Method Factoring: 1. GCF factor (if possible) 2. Find factors m,n of a*c (that add up to b) 3. Change bxto mx + nx 4. Factor by grouping Ex: To factor trinomials make a factor sum table!

  18. Trinomial Factoring: Three Terms*: Illegal Method Factoring: 1. GCF factor (if possible) 2. Multiply ac and rewrite as 3. Factor to (x + m)(x + n) 4. Divide m and n by a and reduce fractions 5. The denom. of any fractions that don’t reduce become coefficients To factor trinomials make a factor sum table!

  19. Trinomial Factoring Examples* Example 1, 2:8-4 Study Guide Classwork: 8-4 Study Guide#2 – 8 (even)

  20. FOIL the following binomials What is (x – 4 )(x + 4)

  21. Two Terms: Factoring Difference of Squares* To factor difference of squares: Examples:

  22. Two Terms: Factoring Sum of Cubes* To factor sum of cubes: Example:

  23. Two Terms: Factoring Difference of Cubes* To factor difference of cubes: Examples:

  24. Classwork: 6-5 Study Guide #1 – 9 All

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