NOTES: “FACTOR PART 3”Name:___________________ DIFFERENCE of TWO SQUARES Directions: Factor the Polynomial “I Do” #1) 𝑿𝟐 − 𝟏𝟔 “We Do” 𝑿𝟐 − 𝟐𝟓 “You Do” Individual Practice 𝑿𝟐 − 𝟏 Graph the quadratic equation 𝒀 = 𝑿𝟐 − 𝟏𝟔 Step 1.) Find the x intercept(s) a.) Replace y with 0. b.)Factor the quadratic c.) Set each “group of terms” equal to 0 and solve for x. Step 2.) Find the (x,y) of the vertex… 1 NOTES: “FACTOR PART 3”Name:___________________ “I Do” #2) 𝟒𝑿𝟐 − 𝟏 “We Do” 𝟐𝟓𝑿𝟐 − 𝟗 “You Do” Individual Practice 𝟒𝟗𝑿𝟐 − 𝟏𝟔 Graph 𝒚 = 𝟒𝑿𝟐 − 𝟏 Step 1.) Find the x intercept(s) a.)
Step 2.) Find the (x,y) of the vertex… Replace y with 0. b.) Factor the quadratic c.) Set each “group of terms” equal to 0 and solve for x. REVIEW: If the following can be factored, factor using GCF or Difference of TWO squares. a.) 𝟒𝟗𝑿𝟐 − 𝟔 b.) 𝟗𝑿𝟐 + 𝟐𝟓 c.) 𝟔𝟒𝑿𝟐 − 𝟏𝟔 d.) 𝟏𝟎𝒙𝟑 − 𝟔𝒙𝟐 + 𝟒𝒙 2 NOTES: “FACTOR PART 3”Name:___________________ Review: The below problems are in “factored” form. Rewrite into standard form. 1.) (x – 9)(x + 8) 2.) (2x – 5)(x + 4) 3