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Factoring Trinomials and Special Cases

Learn how to factor trinomial expressions using the bottom's up method and special cases involving perfect squares. Practice examples included.

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Factoring Trinomials and Special Cases

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  1. Bell Work

  2. Factoring Trinomials and Special Cases Mod 4. Topic 1, Sec. 4

  3. Objectives • I can factor trinomial expressions using the bottom’s up method. • I can factor perfect square trinomials. • I can factor the difference of 2 squares.

  4. Opening • Recently, we discussed multiplying polynomials. But how would you undo it? • Multiply • Now with a partner, try to find a way to undo what you just did to give me what you started with (the factors).

  5. Steps to Factoring Trinomials: • Note: Each problem you complete should be written in standard form. • Standard form: • Your answers will always be written as __) __) • Check for a GCF – if one is present, take it out and place in front of the problem. Then continue with factoring steps below: • Multiply A and C. • Replace the existing C with the number from step 2 and eliminate A. • Write out the factors of C. • Pick a pair of factors that combine together to equal B by addition or subtraction. • Choose signs for your factors that will yield the signs for B and C. • Divide the factors by the original A and simplify if possible. • BOTTOM’S UP – flip fractions to put the denominator in front of the variable.

  6. Factoring Trinomials Examples

  7. Factoring Trinomials Examples EX. 2: EX. 1: EX. 4: EX. 3:

  8. Try it out! – Round 1 Factor each trinomial 2. 3. 1. 6. 5. 4.

  9. Try it out! – Round 2 Factor each trinomial. 1. 2. 3. 5. 4.

  10. Pg. M4-65

  11. Factoring Special Cases

  12. Perfect Square Special Cases • There are 2 different special cases involving perfect squares. • Difference of 2 Squares: • Perfect Square Trinomials: or

  13. Pg. 993 Problem 1Number 6 Take a moment and consider the following question. Be ready to discuss your opinion with the class.

  14. Try it out: Factor each polynomial, if possible. Not factorable

  15. Closing • How can you use other methods of factoring to help in factoring trinomials? • Factor the following trinomials: 2. 1.

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