Guns n' Roses - November rain https://www.youtube.com/watch?v=aDLrrwWxejM Teach me how to factor http://www.youtube.com/watch?v=OFSrINhfNsQ

Ingredients 2 cups peeled, cooked sweet potatoes 1 1/4 cups sugar 1/2 stick melted butter 2 eggs 1 teaspoon vanilla extract 1/4 teaspoon salt 1/4 teaspoon ground cinnamon 1/4 teaspoon ground ginger 1 cup milk 9-inch unbaked pie crust 3 egg whites DIRECTIONS:

Sweet Potato Pie

Unit 5 – Algebra in Context Word Wall

Perfect Squares 12 22 32 42 52 …

Square Numbers 1 x 1 = 1 2 x 2 = 3 x 3 = 9 4 x 4 = 16 5 x 5 = 6 x 6 = 36 7 x 7 = 8 x 8 = 9 x 9 = 81 10 x 10 = 100 11 x 11 = 12 x 12 = 144 13 x 13 = 14 x 14 = 15 x 15 =

F.O.I.L. (x + 4)(x + 1) = (3x - 4)(x - 5) = (x + 6)(x - 6) = Use the FOIL method to multiply these binomials: Example: (z+1)(z+2) = z2 + 2z + 1z + 2 = z2 + 3z + 2 (x + 4)(x + 1) = (3x - 4)(x - 5) = (x + 6)(x - 6) = (c - 2)(2c + 5) = (w - 3)(w2 + 2w - 3) Super-size it

UN-F.O.I.L. x2 +5x +4 = (x + 4)(x + 1) so x2 +5x - 6 =

Solving Quadratic Equations

Solving Quadratic Equations 1. Write equation in standard form. ax2 + bx + c = 0 (a, b, c are real numbers and a0) 2. Factor polynomial completely. 3. Set each factor equal to zero, using ‘Zero Product Property’. If xy = 0, then x=0 or y=0 (or both) 4. Solve resulting equations.

Solve: (x – 5)(x + 7) = 0 x – 5 = 0 , x + 7 = 0 +5 +5 –7 –7 x = 5 A Solve: (x – 5)(x + 7) = 0 Step 1: Let each factor equal 0 x – 5 = 0 , x + 7 = 0 +5 +5 –7 –7 Step 2: Solve each equation x = 5 x = –7

, Solve: (x + 8)(x – 9) = 0 x + 8 = 0 x – 9 = 0 –8 –8 +9 +9 x = –8 B Solve: (x + 8)(x – 9) = 0 Step 1: Let each factor equal 0 x + 8 = 0 , x – 9 = 0 –8 –8 +9 +9 Step 2: Solve each equation x = –8 x = 9

Solve: x(x – 3) = 0 x = 0 , x – 3 = 0 +3 +3 x = 0 x = 3 C Step 1: Let each factor equal 0 x = 0 , x – 3 = 0 +3 +3 Step 2: Solve each equation x = 0 x = 3

Solve: x2 + 2x – 8 = 0 (x + 4)(x – 2) = 0 x + 4 = 0 , x – 2 = 0 –4 –4 D Solve: x2 + 2x – 8 = 0 (x + 4)(x – 2) = 0 Step 1: Factor completely Step 2: Let each factor equal 0 x + 4 = 0 , x – 2 = 0 –4 –4 +2 +2 Step 3: Solve each equation x = –4 x = 2

Solve: x2 – 25 = 0 (x + 5)(x – 5) = 0 x + 5 = 0 x – 5 = 0 x = –5 x = 5 Step 1: Factor completely Step 2: Let each factor equal 0 x + 5 = 0 , x – 5 = 0 –5 –5 +5 +5 Step 3: Solve each equation x = –5 x = 5

Solve: x2 = –2x + 8 x2 + 2x – 8 = 0 (x + 4)(x – 2) = 0 x + 4 = 0 , F Solve: x2 = –2x + 8 Step 1: Write in standard form. Move –2x and +8 to left side of equation. Change the signs. x2 + 2x – 8 = 0 (x + 4)(x – 2) = 0 Step 2: Factor completely Step 3: Let each factor equal 0 x + 4 = 0 , x – 2 = 0 –4 –4 +2 +2 Step 4: Solve each equation x = –4 x = 2

Solve: x2 = 3x x2 – 3x = 0 x(x – 3) = 0 x = 0 , x – 3 = 0 +3 +3 x = 0 G Solve: x2 = 3x Step 1: Write in standard form. Move 12x to left side of the equation. Change the sign. x2 – 3x = 0 x(x – 3) = 0 Step 2: Factor completely Step 3: Let each factor equal 0 x = 0 , x – 3 = 0 +3 +3 Step 4: Solve each equation x = 0 x = 3

Solving quadratic equations using Square Root Property a is a positive number

Use square root property H Solve: x2 = 9 Use square root property This means x = –3 and x = 3

Use square root property Solve: x2 = 12 I Use square root property

Use square root property J Solve the equation Use square root property

Use square root property K Solve the equation Divide both sides by 6 Use square root property

Use square root property L Solve the equation 3x2 – 33 = 0 +33 +33 Add 33 to both sides 3x2 = 33 Divide both sides by 3 x2 = 11 Use square root property