Download presentation

Presentation is loading. Please wait.

Published byRichard Weaver Modified over 4 years ago

1
Warm-up Solve each equation. 1. k2 = b2 = 169 3. m2 – 196 = c = 36 5. 6w2 – 24 = p2 = 4 k = ±9 b = ±13 m = ±14 c = 0 w = ±2

2
**Factoring to Solve Quadratic Equations**

Section 9.5 Factoring to Solve Quadratic Equations Objective: I will solve quadratic equations by factoring. Standards: 14.0, 23.0, 25.1

3
**Zero Product Property:**

If the product of two or more binomials equals 0, then each binomial equals 0. (x + 3)(x + 2) = 0 (x + 3) = 0 and (x + 2) = 0

4
Solve each equation. (x + 4)(x – 8) = 0 (x + 4) = 0 (x – 8) = 0 x + 4 = 0 x – 8 = 0 -4 +8 x = -4 x = 8

5
Solve each equation. (5x + 4)(2x – 5) = 0 (5x + 4) = 0 (2x – 5) = 0 5x + 4 = 0 2x – 5 = 0 +5 +5 5x = -4 2x = 5

6
Solve each equation. y(y – 1) = 0 y = 0 (y – 1) = 0 y – 1 = 0 +1 y = 1

7
Solving a quadratic: If there are three terms: Factor using the X or the box method. Use the zero product property to solve each binomial. Check your answer.

8
**12 3 4 7 Solve by factoring: x2 + 7x + 12 = 0 Factors of 12: 1 and 12**

9
**-28 4 -7 -3 Solve by factoring: b2 – 3b – 28 = 0 Factors of -28:**

1 and -28 4 -7 2 and -14 -3 4 and -7 (b + 4)(b – 7) = 0 b + 4 = 0 b – 7 = 0 b = -4 b = 7

10
Solve by factoring: 3a2 + 4a – 4 = 0 Multiply 3 & -4 3a 3a2 6a -12 -2 -2a -4 -1 and 12 11 -2 and 6 4 a 2 -3 and 4 1 (3a – 2)(a + 2) = 0 3a – 2 = 0 a + 2 = 0 3a = 2 a = -2

11
Solve by factoring: 3x2 + 16x + 5 = 0 Multiply 3 & 5 x 3x2 1x 15 5 15x 5 1 and 15 16 3 and 5 8 3x 1 (3x + 1)(x + 5) = 0 3x + 1 = 0 x + 5 = 0 3x = -1 x = -5

Similar presentations

OK

Multiplying monomials & binomials You will have 20 seconds to answer the following 15 questions. There will be a chime signaling when the questions change.

Multiplying monomials & binomials You will have 20 seconds to answer the following 15 questions. There will be a chime signaling when the questions change.

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

Ppt on ram and rom definition Ppt on end of life care Hrm ppt on recruitment agencies Ppt on data collection methods for organizational diagnosis Gas plasma display ppt on tv Ppt on importance of ict in education Download ppt on civil disobedience movement Ppt on limits and continuity worksheet Best ppt on motivation Ppt on statistics and probability tutorial