Download presentation

1
**6.3 Solving Quadratic Equations by Factoring**

Write a quadratic equation with given roots

2
**Roots or Zeros of the Quadratic Equation**

The Roots or Zeros of the Quadratic Equation are the points where the graph hits the x axis. The zeros of the functions are the input that make the equation equal zero. Roots are 4,-3

3
**To solve a Quadratic Equation**

Make one side zero. Then factor then set each factor to zero

4
Solve

5
Solve

6
Solve

7
Solve

8
Solve

9
Solve

10
Solve Multiply the ends together and find what adds to the coefficient of the middle term

11
Solve Use -6 and 1 to break up the middle term

12
Solve Use group factoring to factor, first two terms and then the last two terms

13
Solve

14
**How to write a quadratic equation with roots**

Given r1,r2 the equation is (x - r1)(x - r2)=0 Then foil the factors, x2 - (r1 + r2)x+(r1· r2)=0

15
**How to write a quadratic equation with roots**

Given r1,r2 the equation is (x - r1)(x - r2)=0 Then foil the factors, x2 - (r1 + r2)x+(r1· r2)=0 Roots are -2, 5 Equation x2 - (-2+5)x+(-2)(5)=0 x2 - 3x -10 = 0

16
**How to write a quadratic equation with roots**

Roots are ¼, 8 Equation x2 -(¼+8)x+(¼)(8)=0 x2 -(33/4)x + 2 = 0 Must get rid of the fraction, multiply by the common dominator. 4 4x2 - 33x + 8 = 0

17
Homework Page 304 # 15 – 41 odd

18
Homework Page 304 # 14 – 42 even

Similar presentations

Presentation is loading. Please wait....

OK

DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)

DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on the art of war for women Ppt on reliance mutual fund Ppt on old age homes in india Ppt on mapping space around us Ppt on product advertising api Ppt on enterprise resource planning Ppt on email etiquettes presentation ideas Plasma panel display ppt on tv 3d backgrounds for ppt on social media Ppt on conjunctive use of water