Download presentation

Presentation is loading. Please wait.

Published byZachary Corcoran Modified over 4 years ago

1
Solving polynomial Equations in Factored Form MM1A2f: Goal: solve polynomial equations Factor trinomials of the form x2 +bx +c

2
Zero Product Property The zero-product property is used to solve an equation when one side is zero and the other side is a product of polynomial factors The zero-product property is used to solve an equation when one side is zero and the other side is a product of polynomial factors Solutions are also called roots Solutions are also called roots

3
Zero Product Property Solve: Solve: (x – 3)(x + 6) = 0 (x – 3)(x + 6) = 0 x – 3 = 0 or x + 6 = 0 zero prod. Prop x – 3 = 0 or x + 6 = 0 zero prod. Prop x = 3 or x = -6 solve x = 3 or x = -6 solve

4
Zero Product Property Solve: Solve: (4x + 5)(4x – 5) = 0 (4x + 5)(4x – 5) = 0 4x+5 = 0 or 4x – 5 =0 zero prod. prop 4x+5 = 0 or 4x – 5 =0 zero prod. prop 4x = -5 or 4x = 5 solve 4x = -5 or 4x = 5 solve x = -5/4 or x = 5/4 x = -5/4 or x = 5/4

5
Solve by factoring Solve: 6x 2 + 12x = 0 Solve: 6x 2 + 12x = 0 6x (x + 2) = 0 factor 6x (x + 2) = 0 factor 6x = 0 or x + 2 = 0 zero prod. Prop 6x = 0 or x + 2 = 0 zero prod. Prop x = 0 or x = -2 solve x = 0 or x = -2 solve

6
Solve by Factoring Solve: Solve: -10b 2 + 25b = 0 -10b 2 + 25b = 0 -5b (2b + 5) = 0 factor -5b (2b + 5) = 0 factor -5b = 0 or 2b + 5 = 0 zero prod. Prop -5b = 0 or 2b + 5 = 0 zero prod. Prop b = 0 or b = -5/2 b = 0 or b = -5/2

7
Factor trinomials x 2 +bx+c Use guess and check Use guess and check Use x-factor Use x-factor

8
Factor k 2 + 6k -7 k 2 + 6k -7 x factor x factor or guess and check or guess and check (x -1)(x +7) (x -1)(x +7) x – 1 = 0 x + 7 = 0 x – 1 = 0 x + 7 = 0 + 1 + 1 -7 -7 + 1 + 1 -7 -7 x = 1 x = -7 x = 1 x = -7 6 -7

9
Factor d 2 + 5d – 50 d 2 + 5d – 50 x factor or guess and check x factor or guess and check (x + 10) or (x – 5 ) (x + 10) or (x – 5 ) x + 10 = 0 x – 5 = 0 x + 10 = 0 x – 5 = 0 -10 -10 +5 +5 -10 -10 +5 +5 x = -10 x = 5 x = -10 x = 5 5 -50

10
Factor -2b 2 + 14b – 20 -2b 2 + 14b – 20 -2(b 2 – 7b + 10) Factor out -2 -2(b 2 – 7b + 10) Factor out -2 x factor or guess and check x factor or guess and check (x - 2) or (x – 5 ) (x - 2) or (x – 5 ) x - 2 = 0 x – 5 = 0 x - 2 = 0 x – 5 = 0 +2 +2 +5 +5 +2 +2 +5 +5 x = 2 x = 5 x = 2 x = 5 -7 10

Similar presentations

OK

Warm Up Solve using the Zero Product Property:. Solve Polynomial Equations By Factoring Unit 5 Notebook Page 157 Essential Question: How are polynomial.

Warm Up Solve using the Zero Product Property:. Solve Polynomial Equations By Factoring Unit 5 Notebook Page 157 Essential Question: How are polynomial.

© 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