Do Now Factor Trinomials Procedure 1 BIG X

Do Now- Factor Trinomials Procedure: 1) BIG X 2) Double bubble (double parentheses) Do Now: 1) v 2 – 14 v + 48 2) v 2 + 12 v + 32

Factor Trinomials Factor each completely. 1) v 2 – 14 v + 48 2) v 2 + 12 v + 32

Perfect square binomial (DOTS) Procedure: 1) Make double bubble: one bubble with a plus sign and the other one with a minus sign. ( + )( - ) 2) Find square root of both terms and place them in the bubble 3) ****Note: a 2 - b 2 = (a + b)( a – b)**** Factor each completely. 1) a 2 – 1 2) v 2 – 81 3) 4 x 2 – 81

Factor completely - trinomial Procedure: 1) Find GCF 2) Big X 3) Double bubble Note: Don’t forget to bring down GCF! Factor each completely. 1) 3 k 2 – 12 k + 9 2) 3 p 2 – 15 p + 12

Factor completely - trinomial Factor each completely. 1) 3 k 2 – 12 k + 9 2) 3 p 2 – 15 p + 12

Factor completely - binomial Procedure: 1) Find GCF 2) Pull out GCF 3) If perfect square binomial (DOTS), do double bubble and take square root of each term. Factor each completely. 1) 2 p 3 – 8 p 2) 2 x 3 – 72 x

Factor completely - binomial Factor each completely. 1) 2 p 3 – 8 p 2) 2 x 3 – 72 x

Quadratics – vertex (turning point) Procedure: 1) Use formula x = 2) Substitute the x value you found into the equation 3) Solve for y. 4) Write vertex (x value, y value) What are the coordinates of the turning point (vertex) of the parabola given the following equation? 1) y = 2 x 2 + 4 x + 3 2) y = 3 x 2 + 12 x – 5 3) y = -x 2 + 2 x – 8

Quadratics – vertex (turning point) What are the coordinates of the turning point (vertex) of the parabola given the following equation? 1) y = 2 x 2 + 4 x + 3 2) y = 3 x 2 + 12 x – 5 3) y = -x 2 + 2 x – 8

Graphing quadratic equations Procedure: 1. Find vertex 2. Make a table with x and y column. 3. Use 3 values below and above the vertex. 4. Graph the points 5. Connect the dots; make sure it is a smooth curve Sketch the graph of each function. Label the vertex, axis of symmetry and roots of the equation. 1) y = x 2 – 4 x + 6 2) y = x 2 + 4 x + 3

Graphing quadratic equations Sketch the graph of each function. Label the vertex, axis of symmetry and roots of the equation. 1) y = x 2 – 4 x + 6

Graphing quadratic equations Sketch the graph of each function. Label the vertex, axis of symmetry and roots of the equation. 2) y = x 2 + 4 x + 3

Quadratics- Finding the roots by factoring- trinomial Procedure: 1. Ensure quadratic equation equals zero. 2. Factor trinomial 3. T-chart 4. Solve for x. Solve each equation by factoring. 1) x 2 + 11 x + 30 = 0 2) x 2 + 13 x + 40 = 0

Quadratics- Finding the roots by factoring- trinomial Solve each equation by factoring. 1) x 2 + 11 x + 30 = 0 2) x 2 + 13 x + 40 = 0

Quadratics- Finding the roots by factoring- binomial Procedure: 1. Ensure quadratic equation equals zero. 2. Factor binomial 3. T-chart 4. Solve for x. Solve each equation by factoring. 1) x 2 – 6 x = 0 2) x 2 – 9 x = 0

Slope (m) Procedure: 1) Label your x 1, y 1, and x 2, y 2 points 2) Use slope (m) formula: 3) Solve for m. (slope) Find the slope of the lines that passes between the following points: 1) (2, 1) (5, 4) 2) (4, 5) ( 8, 9) 3) (4, 3) (6, 4)

Scientific notation - Multiplication 1) 2) 3) Procedure: 1) Multiply numbers 2) Add exponents 3) If necessary, “fix number” to be in scientific notation

Scientific notation - Multiplication 1) 2) 3)

Scientific notation - divide 1) 2) 3) Procedure: 1) Divide the numbers 2) Subtract exponents 3) If necessary, “fix number” to be in scientific notation

Scientific notation - divide 1) 2) 3)