Download presentation

Presentation is loading. Please wait.

1
**6.8 Solving Equations by Factoring**

2
**Zero Product Property Rule if (a)(b) = 0, then a = 0 or b = 0**

Zero Product Property Rule if (a)(b) = 0, then a = 0 or b = 0. if a = 0 or b = 0, then (a)(b) = 0.

3
the quest for “X” X

4
Solving for X If the equation is already factored and set equal to 0 then: set each factor equal to 0 solve

5
**What values of “x” make this equation true? (x + 1)(x – 7) = 0**

6
**What values of “x” make this equation true? x(2x – 9) = 0**

7
**What values of “x” make this equation true? (x + 3)(x – 4) = 0**

8
**What values of “x” make this equation true? (x - 7)(x – 3) = 0**

9
**What values of “y” make this equation true? y(3y – 17) = 0**

10
**If the equation is not already factored then you need to:**

Solving for X If the equation is not already factored then you need to: set it =0 factor it set each of its factors =0, solve for x

11
**Solve for “y”: y2 + 5y = -6 Add 6 to get “0” on one side Factor**

Let each factor = zero

12
Solve for “y”: y2 – 8y = -16 Add 16 to get “0” on one side Factor

13
x2 – x – 6 = 0 x = 3 or (-2)

14
m2 – m = 56 m = 8 or (-7)

15
k2 – 3k = 28 m = 7 or (-4)

16
“root” For a polynomial containing a variable, any value of the variable that makes the value of the polynomial = zero is called a “root” of the polynomial. Find the roots of x2 – 5x = 0

17
Find the roots of 25x2 – 16

18
**Assignment Page 289 (2-68) even**

Similar presentations

OK

Solving equations with polynomials – part 2. n² -7n -30 = 0 ( )( )n n 1 · 30 2 · 15 3 · 10 5 · 6 310 + - n + 3 = 0 n – 10 = 0 - 3 + 10 n = -3n = 10 =

Solving equations with polynomials – part 2. n² -7n -30 = 0 ( )( )n n 1 · 30 2 · 15 3 · 10 5 · 6 310 + - n + 3 = 0 n – 10 = 0 - 3 + 10 n = -3n = 10 =

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google