Factoring lesson
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1) The document discusses factoring trinomials by going from expressions like "x + 4x + 3" back into binomials using factors. 2) It provides examples of factoring various trinomial expressions into binomials like (x + 3)(x + 1). 3) The objective is to teach learners how to factor trinomials into binomials using techniques like finding two numbers with a sum and product that match the coefficients.
Factoring lesson
- 1. Intro Video: https://www.youtube.com/watch?v=wPOgvzVOQig
- 2. Last week: FOIL Method 1) First. Multiply the first terms in each binomial 2) Outer. Multiply the outer terms in each binomial 3) Inner. Multiply the inner terms in each binomial 4) Last. Multiply the last terms in each binomial **combine any like terms (x + 7)(x + 4) (x - 5)(x - 6)
- 3. review: (x + 5)(x - 3) (x - 3)(x - 3)
- 4. SHORT CUT! - 1st term: if both x's have a coefficient and power of 1, just put "x" - 2nd term: add both constants together, then add x - 3rd term: multiply both constants (x + 5)(x + 5) (x - 6)(x - 6)
- 5. This week: FACTORING!
- 6. (x + 3)(x + 1) x + 4x + 3 2
- 7. Objective: go from a trinomial back to binomials x + 4x + 3 2 ( )( )
- 8. Objective: go from a trinomial back to binomials x + 4x + 3 2 ( )( )
- 9. x - 7x + 10 2
- 10. x + 7x + 12 2
- 11. x - 3x - 10 2
- 12. do this as a group: x + 6x + 5 2 x + 4x - 12 2 x - 9x + 18 2 x - 100 2
- 13. if you can factor this, you are a factoring ninja! x - 5x - 24 2 answer: (x - 8)(x + 3)