MCF 3M1
Date ___________
Lesson 3: Solving Quadratic Equations by Factoring
Yesterday we learnt that a quadratic equation can be solved by graphing or
factoring. Finding the solution to a quadratic equation is the same as finding the
____________, ______________ or ________________.
To solve quadratic equations by factoring, we MUST follow the following steps:
1.
2.
3.
4.
Rearrange equation in the form of ax 2 bx c 0
Common Factor
Follow your steps when factoring simple or complex trinomials
Use the “zero product property” to solve for the roots
Examples: Solve by Factoring
1.
x 2 2 x 24 0
2.
9 x 2 25 0
3.
4 x 2 20 x 25
4.
x 2 7 x 10 28
MCF 3M1
5.
Date ___________
2( x 3) 2 5( x 3) Verify your solution
LS
RS
6. The path a dolphin travels when it rises above the water can be modeled by the
function h(d ) 0.2d 2 2d , where h (d ) is the height of the dolphin above the
water’s surface and d is the horizontal distance from the point where the
dolphin broke the water’s surface, both in feet. When will the dolphin reach a
height of 1. feet?
0
