X-box Factoring to Solve Quadratic Equations

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Presentation transcript:

X-box Factoring to Solve Quadratic Equations 1

Warm-up: X- Box Puzzles ? 50 5 -12 ? ? ? -15

Activator: What was the problem? What is the answer? Problem: 6x2 + x - 1 Answer: (3x – 1)(2x + 1)

Essential Question How do I use an X box strategy to solve quadratic equations like ax2 + bx + c = 0, when a ≠ 1?

Recall: 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 Watch this video

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

Examples continued 2x2 - 5x + 3 2x -3 x 2x2 -3x -2x 3 a) b) 2x -3 -3x -2x 6 -5 x 2x2 -3x -2x 3 -1 Solution: 2x2 - 5x + 3 = (2x - 3)(x - 1)

Examples continued Factor: 2x2 - 5x - 7 2x -7 x 2x2 -7x 2x -7 a) b) 2x -7 -14 -5 -7 2 x 2x2 -7x 2x -7 +1 Solution: 2x2 - 5x – 7 = (2x - 7)(x + 1)

Summarize Factor: 3x2 + 11x – 20 and formalize the steps.

Partner Practice Grab your white boards, pens and erasers! Do the Checkpoint Problems #1,2,3 p. 603

Written Practice Grab your white boards, pens and erasers! Do the Checkpoint Problems #4-9 p. 604

Exit Ticket Factor the trinomials: 4x2 + 8x + 3 10x2 – 9x + 2

Homework Do the worksheets for Homework using the X-box method. Show all your work to receive credit– don’t forget to check by multiplying!