1 / 15

Factoring Trinomials

Factoring Trinomials. Lesson 29. Factoring Trinomials. Trinomial – 3 terms. When factoring a trinomial, we need to look at the second term and the third term to help find the factors . The factors of a trinomial will be two binomials. Let’s take a Look. y 2 + 3y + 2.

halee-atkins
Télécharger la présentation

Factoring Trinomials

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Factoring Trinomials Lesson 29

  2. Factoring Trinomials • Trinomial – 3 terms. • When factoring a trinomial, we need to look at the second term and the third term to help find the factors. • The factors of a trinomial will be two binomials.

  3. Let’s take a Look y2 + 3y + 2 Middle Term: Sum of 3 Last Term: Product of 2 What two numbers add up to +3 ( 2 and 1 ) Same two numbers that multiply to give you +2 Factors: Options: 1 and 2 Therefore: y2 + 3y + 2 = (y + 1)(y + 2)

  4. Let’s take a Look g2 – 4g + 3 Middle Term: Sum of -4 Last Term: Product of 3 What two numbers add up to -4 Same two numbers that multiply to give you 3 Factors: Options: 1 and 3 or -1 and -3 Therefore: g2 – 4g + 3 = (g - 1)(g - 3)

  5. Let’s take a Look x2 – 7x + 12 Middle Term: Sum of -7 Last Term: Product of 12 What two numbers add up to -7 Same two numbers that multiply to give you 12 Factors: Options: 1 x 12 or -1 x -12 2 x 6 or -2 x -6 3 x 4 or -3 x -4 Which gives a sum of -7? (-3) + (-4) Therefore: x2 – 7x + 12 = (x - 4)(x - 3)

  6. Chart to Help with Signs

  7. YOU TRY! x2 + 6x + 8 Middle Term: Sum of 6 Last Term: Product of 8 What two numbers add up to + 6 Same two numbers that multiply to give you 8 Factors: Options: Which gives a sum of +6? Therefore: x2 + 6x + 8 = (x )(x )

  8. SOLUTIONS x2 + 6x + 8 Middle Term: Sum of 6 Last Term: Product of 8 What two numbers add up to + 6 Same two numbers that multiply to give you 8 Factors: Options: 1 x 8 or -1 x -8 2 x 4 or -2 x -4 Which gives a sum of +6? (2 and 4) Therefore: x2 + 6x + 8 = (x + 2)(x + 4)

  9. YOU TRY! x2 + 2x - 15 Middle Term: Sum of 2 Last Term: Product of -15 What two numbers add up to + 2 Same two numbers that multiply to give you -15 Factors: Options: Which gives a sum of +2? Therefore: x2 + 2x - 15 = (x )(x )

  10. SOLUTIONS x2 + 2x - 15 Middle Term: Sum of 2 Last Term: Product of -15 What two numbers add up to + 2 Same two numbers that multiply to give you -15 Factors: Options: 1 x 15 or -1 x -15 3 x 5 or -3 x -5 Which gives a sum of +2? -3 and +5 (use chart to help with signs) Therefore: x2 + 2x - 15 = (x -3)(x + 5)

  11. YOU TRY! y2 - 4y - 12 Middle Term: Sum of - 4 Last Term: Product of -12 What two numbers add up to - 4 Same two numbers that multiply to give you - 12 Factors: Options: Which gives a sum of - 4? Therefore: y2 – 4y - 12 = (y )(y )

  12. SOLUTIONS y2 - 4y - 12 Middle Term: Sum of - 4 Last Term: Product of -12 What two numbers add up to - 4 Same two numbers that multiply to give you - 12 Factors: Options: 1 x 12 or -1 x -12 2 x 6 or -2 x -6 3 x 4 or -3 x -4 Which gives a sum of - 4? - 6 and + 2 Therefore: y2 – 4y - 12 = (y - 6)(y + 2)

  13. YOU TRY! y2 - 5y + 4 Middle Term: Sum of - 5 Last Term: Product of + 4 What two numbers add up to - 5 Same two numbers that multiply to give you + 4 Factors: Options: Which gives a sum of - 5? Therefore: y2 – 5y + 4 = (y )(y )

  14. SOLUTIONS y2 - 5y + 4 Factors: Middle Term: Sum of - 5 Last Term: Product of + 4 What two numbers add up to - 5 Same two numbers that multiply to give you + 4 Options: 1 x 4 or -1 x -4 2 x 2 or - 2 x -2 Which gives a sum of - 5? -1 and - 4 Therefore: y2 – 5y + 4 = (y -1)(y - 4)

  15. Class work • Check solutions to Lesson 28(2) on my desk • Lesson 29 worksheet • Reminder that Solutions are are on my desk

More Related