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Algebra 1 Notes 7.4.notebook March 05, 2015 How can you solve a polynomial equation?
Algebra 1 Notes 7.4.notebook March 05, 2015
How can you solve a polynomial equation?
Algebra 1 Notes 7.4.notebook March 05, 2015
Before we...
Multiplied Polynomials.
Today we will...Discover the procedure of solving a polynomial equation (that has already been factored).
Why?
7.4 Solving Polynomial Equations in Factored Form
Summary...
Assign:
So you'll know how many gallons of paint to buy to paint your barn.
Pg.381 2-18 even, 19
Algebra 1 Notes 7.4.notebook March 05, 2015
If I said that x times y is equal to zero:
xy = 0,
could you find three sets of numbers that you could plug in for x and y, and the equation would work?
1._________ 2.________ 3.________
Algebra 1 Notes 7.4.notebook March 05, 2015
Algebra 1 Notes 7.4.notebook March 05, 2015
Solve each equation.a. 2x(x − 4) = 0 b. (x − 3)(x − 9) = 0
Algebra 1 Notes 7.4.notebook March 05, 2015
Solve the equation. Check your solutions.1. x(x − 1) = 0 2. 3t(t + 2) = 0
3. (z − 4)(z − 6) = 0
Algebra 1 Notes 7.4.notebook March 05, 2015
Solve each equation.a. (2x + 7)(2x − 7) = 0 b. (x − 1)2 = 0 c. (x + 1)(x − 3)(x − 2) = 0
Algebra 1 Notes 7.4.notebook March 05, 2015
Solve the equation. Check your solutions.4. (3s + 5)(5s + 8) = 0 5. (b + 7)2 = 0
6. (d − 2)(d + 6)(d + 8) = 0
Algebra 1 Notes 7.4.notebook March 05, 2015
List the FACTORS of:
a. 21 b. x2y c. 12x2yz3
Algebra 1 Notes 7.4.notebook March 05, 2015
Before:
2x(x2 - 3) = 2x3 - 6x
Now:
3x2 + 6x = 3x(x + 2)
Algebra 1 Notes 7.4.notebook March 05, 2015
Factor out the greatest common monomial factor from:
a. 5x - 10
b. x3 + x2
c. 4x4 + 24x3
Algebra 1 Notes 7.4.notebook March 05, 2015
Factor out the greatest common monomial factor from:
8y2 − 24y.
Algebra 1 Notes 7.4.notebook March 05, 2015
Solve:
(a) 2x2 + 8x = 0
(b) 6n2 = 15n
Algebra 1 Notes 7.4.notebook March 05, 2015
Solve the equation. Check your solutions.
8. a2 + 5a = 0 9. 3s2 − 9s = 0 10. 4x2 = 2x
Algebra 1 Notes 7.4.notebook March 05, 2015
Click the example to show the next step.
Algebra 1 Notes 7.4.notebook March 05, 2015
You can model the arch of a fireplace using the equation
y = − (x + 18)(x − 18), where x and y are measured in inches.
The xaxis represents the floor. Find the width of the arch at floor level.
Algebra 1 Notes 7.4.notebook March 05, 2015
11. You can model the entrance to a mine shaft using the equation
y = − (x + 4)(x − 4), where x and y are measured in feet. The xaxis
represents the ground. Find the width of the entrance at ground level.
Algebra 1 Notes 7.4.notebook March 05, 2015
• Exit Ticket: Write a polynomial equation that has −6 and 4 as solutions.
Algebra 1 Notes 7.4.notebook March 05, 2015
Work with a partner. An equation is considered to be in factored form when the product of the factors is equal to 0. Match each factored form of the equation with its equivalent standard form and nonstandard form.
