Factoring Quadratic Expressions ax2 + bx + c Feb. 27, 2014

SWBAT Factoring Quadratic Expressions in Standard Form WARM – UP 1. Factor by Grouping: 2. Factor Using the GCF: SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Mini-Lesson Do you recognize the pattern??? __________________________________________________________________________________________________________________________________________________________ SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form You Try!!! Complete the “Diamond” SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Multiply (x + 2)(x + 5) = _____________________________ = ___________________ Notice the constant term in the trinomial; it is the product of the constants in the binomials. You can use this fact to factor a trinomial into its binomial factors. (Find two factors of c that add up to b)   ax2 + bx + c SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Example 1: First Sign is Positive and Last Sign is Positive Factor: x2 + 6x + 8 Factor: x2 + 5x Answer: ( ) ( ) Answer: ( ) ( ) SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Practice 1: Factor. x2 + 5x + 6 2. x2 + 8x + 12 Answer: ( ) ( ) Answer: ( ) ( ) 3. x2 + 6x + 5 4. x2 + 6x + 9 Answer: ( ) ( ) Answer: ( ) ( ) SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Example 2: First Sign is Negative and Last Sign is Positive   Factor: x2 - 10x + 24 Factor: x2 - 7x Answer: ( ) ( ) Answer: ( ) ( ) SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Practice 2: Factor. 7. x2 - 8x + 15 8. x2 - 6x + 8 9. x2 - 7x + 10 Answer: ( ) ( ) Answer:( ) ( ) Answer:( ) ( ) 10. x2 - 5x + 6 11. x2 - 13x + 40 12. x2 - 6x SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Example 3: First Sign is Positive or Negative and Last Sign is Negative Factor: x2 + x - 20 Answer: ( ) ( ) SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Practice 3: Factor 13. x2 + 2x – 15 14. x2 + 3x – 10 15. x2 + 6x - 40 Answer: ( ) ( ) Answer:( ) ( ) Answer:( ) ( ) SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form 16. x2 - 2x – 3 17. x2 - 2x – 15 18. x2 - 2x - 48 SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Challenge Problem: 1) If x + 2 is a factor of x2 + bx + 10, what is the value of b? 2)Factor: x4 + 18x2 + 81 SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form Summary Example: Factor: x2 – 5x - 50 SWBAT Factoring Quadratic Expressions in Standard Form

SWBAT Factoring Quadratic Expressions in Standard Form EXIT TICKET Factor x2 + 4x - 21 HW p. 24/ # 1-20 SWBAT Factoring Quadratic Expressions in Standard Form