1 / 15

X-box Factoring

X-box Factoring. X- Box. Trinomial (Quadratic Equation). Product of a & c. ax 2 + bx + c. Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. . b. X- Box. Trinomial (Quadratic Equation). x 2 + 9x + 20. 20. 5.

aviva
Download Presentation

X-box Factoring

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. X-box Factoring

  2. X- Box Trinomial (Quadratic Equation) Product of a & c ax2 + bx + c Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. b

  3. X- Box Trinomial (Quadratic Equation) x2 + 9x + 20 20 5 Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. 4 9

  4. X- Box Trinomial (Quadratic Equation) 2x2 -x - 21 -42 Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. -7 6 -1

  5. X-box Factoring • This is a guaranteed method for factoring quadratic equations—no guessing necessary! • We will learn how to factor quadratic equations using the x-box method

  6. LET’S TRY IT! Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials. Objective: I can use the x-box method to factor non-prime trinomials.

  7. Factor the x-box way Example: Factor x2 -3x -10 (1)(-10)= -10 x -5 x2 -5x x GCF -5 2 -3 -10 2x +2 GCF GCF GCF x2 -3x -10 = (x-5)(x+2)

  8. Factor the x-box way y = ax2 + bx + c Base 1 Base 2 Product ac=mn First and Last Coefficients 1st Term Factor n GCF n m Middle Last term Factor m b=m+n Sum Height

  9. Factor the x-box way Example: Factor 3x2 -13x -10 x -5 -30 3x 3x2 -15x 2 -15 -13 -10 2x +2 3x2 -13x -10 = (x-5)(3x+2)

  10. -12 4 Examples Factor using the x-box method. 1. x2 + 4x – 12 a) b) x +6 x26x -2x -12 x 6 -2 -2 Solution: x2 + 4x – 12 = (x + 6)(x - 2)

  11. Examples continued 2. x2 - 9x + 20 a) b) x -4 -4-5 20 -9 x2-4x -5x 20 x -5 Solution: x2 - 9x + 20 =(x - 4)(x - 5)

  12. Examples continued 3. 2x2 - 5x - 7 a) b) 2x -7 -72 -14 -5 x 2x2-7x 2x -7 +1 Solution: 2x2 - 5x – 7 = (2x - 7)(x + 1)

  13. Examples continued 3. 15x2 + 7x - 2 a) b) 3x +2 -30 7 5x 15x210x -3x -2 10-3 -1 Solution: 15x2 + 7x – 2 = (3x + 2)(5x - 1)

  14. Extra Practice • x2 +4x -32 • 4x2 +4x -3 • 3x2 + 11x – 20

  15. Reminder!! Don’t forget to check your answer by multiplying!

More Related