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MFM 2P

MFM 2P. Minds On. Determine the slope and the y-intercept of the following linear equation: 3x – 5y + 30 = 0 . MFM 2P. Lesson 5 – Converting between Standard and Factored Forms. Learning Goal: I can remove a common factor I can factor simple trinomials

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MFM 2P

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

  2. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms • 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

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

  4. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms • Recall Factoring a Simple Trinomial: • y = x2 + 12x - 28

  5. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms • 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 = -2x2 + 4x – 6 would factor to: y = -2(x2 – 2x + 3)

  6. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms • Example: y = 2x2 + 12x +18 • Common Factor First: What is the GCF between 2x2, 12x, and 18?

  7. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms • Example: y = 4x2 + 8x -32

  8. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms • Example: y = 3x2 - 6x - 45

  9. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms • Example: Factor y = x2 - 4

  10. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms • Example: Factor y = 4x2 - 25

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

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

  13. MFM 2P • Lesson 5 – Converting between Standard and Factored Forms Graph the following: y = 2x2-8x + 6

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

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