Solving Quadratic Equations Lesson 5.3, Part 2
Essential Question • How can we use factoring in order to solve quadratic equations?
Solving Quadratic Equations • There must be an = to be an equation • Move everything to one side so that one side = 0 • Use the zero product property • If pq = 0, then p = 0 or q = 0 • Set each factor equal to zero • Solve each equation to find up to two solutions.
Warm-Up: October 16, 2012 Solve for x by factoring and zero product property
Quiz Thursday • Quiz on Factoring • 10 questions, all free response • 15 minute time limit • Will be included in your progress report grade
Finding Zeros of Quadratic Functions • Given f(x) = ax2 + bx + c • The zeros are where f(x) = 0 • Where the parabola crosses the x-axis Zeros
They all mean the same… • Roots • Zeros • x-intercepts • They all mean set f(x)=0 and solve for x
Example 3 • Find the zeros of g(x) = 6x2 + 20x – 16
You-Try #4 • Find the zeros of f(n) = n2 – n – 30
Assignment • Page 296-297 #69-87 odd, 101 • Check answers in back of book after you complete the problems. Fix any incorrect problems.
October 17, 2012 • Factor the following:
Warm-Up: October 18, 2012 • Factor the following:
Earthquake Drill Today at 10:18 • Duck and Cover when you hear the bell • After 30-60 seconds another bell will ring. This is the signal to evacuate. • Take all your possessions with you. You will go directly to 4th period after the drill. • You will follow Mr. Szwast to the utility field. • You must stay with the class on the field in single file line.
Quiz Time • Clear everything off of your desk except a pencil and eraser. • 15 minute time limit • Any talking while any quiz is out will result in a zero. • When finished, turn in your quiz on the front table and silently get out your binder for notes.