February 6, 2012 At the end of today, you will be able to solve quadratic equations by factoring. Warm-up: Factor 1.x 2 – 11x 2. x 2 – 6x – 16 3. 2x 2.

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Presentation transcript:

February 6, 2012 At the end of today, you will be able to solve quadratic equations by factoring. Warm-up: Factor 1.x 2 – 11x 2. x 2 – 6x – x 2 + 7x – 15 Turn in Factor Review HW and Test Corrections!

HW Questions?

Lesson 6.3 Solving Quadratic Equations by Factoring Example 1: Solve 2x 2 + 7x = Always equate to zero x 2 + 7x – 15 = 0 2. Factor 3. Set each factor = 0, and solve for x. 2x x – 3x – 15 = 0 2x(x + 5) – 3(x + 5) = 0 (x + 5)(2x – 3) = 0 x + 5 = 0 2x – 3 = x = x = 3 x = 3/2 Check your answers by plugging it back in!

Practice Solving By Factoring 1.x 2 – 3x – 28 = 0 2.x 2 = x 2 = -3x 1. Always equate to zero. 2. Factor 3. Set each factor = 0, and solve for x.

What have we learned so far? A quadratic (x 2 ) is a parabola The axis of symmetry cuts it half. x = -b/(2a) The vertex is the max or min point. When you solve a quadratic, you are finding the roots, zeros or the x-intercepts.

HW 6.3 Pg. 304 #14-30 even, #63-68all Solve # x 2 + 5x – 24 = x2 + 12x – 16 = x 2 = 25Simplify # x 2 + 3x = x 2 = 5x x = 12x x 2 + 7x = x 2 + 8x = x x =

Valentine’s Extra Credit Heart on Graphing Calculator Draw a heart on your graphing calculator. Hint: Solve for y You must show your work to get the credit.