1. Do Now 2/8/19 Take out HW from last night. Copy HW in your planner.
Text p. 381, #4-40 evens
Copy HW in your planner.
Puzzle Time worksheet 7.4 – Schoology
Quiz sections Tuesday
In your notebook, factor the following 2 polynomials.

2. Factor Challenge

3. Homework Text p. 381, #4-40 evens

4. Homework Text p. 381, #4-40 evens

5. Learning Goal Learning Target
SWBAT simplify, factor, and solve polynomial expressions and equations
Learning Target
SWBAT review simplifying polynomial expressions by adding, subtracting, and multiplyiing, and solving polynomial equations using greatest common factors

6. Section 7.4 “Solving Polynomial Equations in Factored Form”
Zero-Product Property
If ab = 0, then a = 0 or b = 0.
The zero-product property is used to solve an equation when one side of the equation is ZERO and the other side is the product of polynomial factors.
(x – 4)(x + 2) = 0
The solutions of such
an equation are called
ROOTS.
x + 2 = 0
x – 4 = 0
x = -2
x = 4

7. Solve Equations By Factoring
42p² = -14p
Bring all variables to one side
42p² + 14p = 0
Factor left side of equation
14p(3p + 1) = 0
Zero product property
3p + 1 = 0
14p = 0
p = -1/3
p = 0
The solutions of the equation are 0 and -1/3.

8. You can model the arch of a fireplace using the equation
y = -1/9(x + 18)(x – 18), where x and y are measured in inches. The x-axis represents the floor. Find the width of the arch at the floor level.

9. You can model the arch of an entrance to a train tunnel by using the equation
y = -5/16(x + 8)(x – 8),
where x and y are measured in feet. The x-axis represents the ground.
Find the width of the entrance at the ground level.
16 feet
Find the maximum height of the entrance of the train tunnel.
20 feet

10. where x and y are measured in feet. The x-axis represents the ground.
A top hat is an element typically found on launched coasters. The element consists of 90-degree ascent up a hill, followed by a 90-degree descent. You can model the Kingda Ka roller coaster by using the equation
y = -3/20(x + 55)(x –55),
where x and y are measured in feet. The x-axis represents the ground.
Find the width of the top hat of Kingda Ka.
110 feet
Find the maximum height of Kingda Ka rounded to the nearest foot.
454 feet

11. Clock Partners
With your 2:00 partner, complete Extra Practice in your Student Journal, #1-25 odds on pages 222& 223.