Objective: To be able to factor trinomials. Objective: To be able to factor trinomials.
Example 1 Factor. x 2 − 10 x + 16 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!
Example 2 Factor. m 2 − 22 m + 21 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!
Example 3 Factor. d − 7 d To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!
Example 4 Factor. x + x 2 – 12 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!
Example 5 Factor. y y – 7 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!
Example 6 Factor. x 2 − 7 x – 18 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!
Example 7 Factor. -40 − 18 z + z 2 To factor a trinomial: 1.GCF? 2.Put in standard form. 3.Is a = 1? 4.Draw your parentheses. (x )(x ) 5.Puzzle: *c for ceiling, b for basement! magic 6.Find the two magic numbers. 7.Fill in your parentheses. *if a magic number is negative, write as a subtraction inside ( )* 8.FOIL/BOX/DISTRIBUTE to check your answer!
Homework 9.3 SP 537 #5-16 all