MFM 2P Determine the slope and the y-intercept of the following linear equation: 3x – 5y + 30 = 0 Minds On

MFM 2P Learning Goal: I can remove a common factor I can factor simple trinomials I can factor difference of perfect squares I can expand using distributive property, FOIL, or the chart method Lesson 5 – Converting between Standard and Factored Forms

MFM 2P Recall Common Factoring: y = 14x – 7 What is the Greatest Common Factor between 14x and 7? Lesson 5 – Converting between Standard and Factored Forms

MFM 2P Recall Factoring a Simple Trinomial: y = x x - 28 Lesson 5 – Converting between Standard and Factored Forms

MFM 2P Things to remember when factoring: Always do common factoring FIRST If the first term is negative, remove a negative number from all terms (ex. y = -2x 2 + 4x – 6 would factor to: y = -2(x 2 – 2x + 3) Lesson 5 – Converting between Standard and Factored Forms

MFM 2P Example: y = 2x x +18 Common Factor First: What is the GCF between 2x 2, 12x, and 18? Lesson 5 – Converting between Standard and Factored Forms

MFM 2P Example: y = 4x 2 + 8x -32 Lesson 5 – Converting between Standard and Factored Forms

MFM 2P Example: y = 3x 2 - 6x - 45 Lesson 5 – Converting between Standard and Factored Forms

MFM 2P Example: Factor y = x Lesson 5 – Converting between Standard and Factored Forms

MFM 2P Example: Factor y = 4x Lesson 5 – Converting between Standard and Factored Forms

MFM 2P What is factoring? Lesson 5 – Converting between Standard and Factored Forms What is expanding?

MFM 2P Why do we factor and expand? Lesson 5 – Converting between Standard and Factored Forms Why do we want to turn standard form into factored form? Or turn factored form into standard form? So we can graph the parabola!

MFM 2P Lesson 5 – Converting between Standard and Factored Forms Graph the following: y = 2x 2 -8x + 6

MFM 2P Lesson 5 – Converting between Standard and Factored Forms Graph the following: y = (x – 4)(x + 1)