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Do Now 2/25/19 Take out HW from last night. Text p.395, #2, 6, 10, 14, 18, 22, 26, 30, 34 Copy HW in your planner. Text p. 401, #4-8 evens, 16-42 evens Quiz sections 7.5-7.8 Friday, 3/1 Chapter 7 Test Tuesday, 3/5 Get your Student Journal, complete the EVENS #2-18 on pages 217 & 218. Do you remember your patterns?

Homework Text p.395, #2, 6, 10, 14, 18, 22, 26, 30, 34

Learning Goal Learning Target SWBAT factor special product patterns SWBAT simplify, factor, and solve polynomial expressions and equations Learning Target SWBAT factor special product patterns

Factoring Checklist (1) Look for Greatest Common Factor (7.4) (2) Factor the form x2 + bx + c (7.5) (3) Factor the form ax2 + bx + c (use grouping shortcut) and look for “-a” term. (7.6)

In your notebook, define a perfect square in your own words In your notebook, define a perfect square in your own words. Then list the squares of the numbers 1 to 20.

Chapter 7 “Polynomials and Factoring” (7.1) Add and subtract polynomials (7.2) Multiply polynomials (7.3) Find special products of polynomials (7.4) Solve polynomial equations in factored form (7.5) Factor x² + bx + c (7.6) Factor ax² + bx + c (7.7) Factor special products (7.8) Factor polynomials completely

Section 7.7 “Factoring Special Products” (1) perfect square trinomials (2) the difference of two squares Squares are numbers or variables that have a whole number or whole variable square root. x² 9 t² 1 25 4z²

Section 7.7 “Factor Special Products” You can use the following special products patterns to help you factor certain polynomials. Perfect Square Trinomial Pattern (addition) a² + 2ab + b² (a + b)² (a + b)(a + b) Perfect Square Trinomial Pattern (subtraction) a² – 2ab + b² (a – b)² (a - b)(a - b) Difference of Two Squares Pattern a² – b² (a + b)(a – b)

a² + 2ab + b² (a + b)² (x + 5)² x² + 10x + 25 (3x + 2)² 9x² + 12x + 4 Perfect Square Trinomial Pattern (addition) a² + 2ab + b² (a + b)² (a + b)(a + b) Always check for perfect squares!! (x + 5)² x² + 10x + 25 (3x + 2)² 9x² + 12x + 4 2(3x + 2)² 2(9x² + 12x + 4) 18x² + 24x + 8 Factor out 2 first, then look for perfect squares.

a² – 2ab + b² (a – b)² (x – 3)² x² – 6x + 9 (6y – 1)² 36y² – 12y + 1 Perfect Square Trinomial Pattern (subtraction) a² – 2ab + b² (a – b)² (a - b)(a - b) Always check for perfect squares !! (x – 3)² x² – 6x + 9 (6y – 1)² 36y² – 12y + 1 3(x² – 2xy + y²) 3x² – 6xy + 3y² 3(x – y)² Factor out 3 first, then look for perfect squares.

a² – b² (a + b)(a – b) x² – 16 (x + 4)(x – 4) 9(2y + 3)(2y – 3) Difference of Two Squares Pattern a² – b² (a + b)(a – b) Always check for perfect squares!! x² – 16 (x + 4)(x – 4) 9(2y + 3)(2y – 3) 36y² – 81 (7c + d)(7c – d) 49c² – d²

On Your Own… Factor the polynomial. Solve the equation.

A bird picks up a golf ball and drops it while flying A bird picks up a golf ball and drops it while flying. The function represents the height y (in feet) of the golf ball t seconds after it is dropped. The ball hits the top of a 32-foot-tall pine tree. After how many seconds does the ball hit the tree? y = 81 – 16t2

Homework Text p. 401, #4-8 evens, 16-42 evens