Do Now 22519 Take out HW from last

Do Now 2/25/19 Ø Take out HW from last night. l Text p. 395, #2, 6, 10, 14, 18, 22, 26, 30, 34 Ø Copy HW in your planner. l Text p. 401, #4 -8 evens, 16 -42 evens l Quiz sections 7. 5 -7. 8 Friday, 3/1 l Chapter 7 Test Tuesday, 3/5 Ø 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 l SWBAT simplify, factor, and solve polynomial expressions and equations Learning Target l SWBAT patterns factor special product

Factoring Checklist Ø (1) Look for Greatest Common Factor (7. 4) Ø (2) Factor the form x 2 + bx + c (7. 5) Ø (3) Factor the form ax 2 + bx + c (use grouping shortcut) and look for “-a” term. (7. 6)

Ø 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 Ø (7. 2) Multiply polynomials Ø (7. 3) Find special products of polynomials Ø (7. 4) Solve polynomial equations in factored form Ø (7. 5) Factor x² + bx + c Ø (7. 6) Factor ax² + bx + c Ø (7. 7) Factor special products Ø (7. 8) Factor polynomials completely Ø

Section 7. 7 “Factoring Special Products” Ø Special products l (1) perfect square trinomials l (2) the difference of two squares Squares are numbers or variables that have a whole number or whole variable square root. x² 25 9 4 z² t² 1

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 + 2 ab + b² (a + b)(a + b) Perfect Square Trinomial Pattern (subtraction) a² – 2 ab + b² (a – b)² (a - b) Difference of Two Squares Pattern a² – b² (a + b)(a – b)

Perfect Square Trinomial Pattern (addition) a² + 2 ab + b² (a + b)(a + b) Always check for perfect squares!! x² + 10 x + 25 (x + 5)² 9 x² + 12 x + 4 (3 x + 2)² 2(9 x² 18 x² + + 24 x 12 x + + 84) 2(3 x + 2)² Factor out 2 first, then look for perfect squares.

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

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

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

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 – 16 t 2

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