Solving by Factoring
Solve x2−12x+35=0.
What is x=7 and x=5?
sqrt(64
8
m^2-49
(m+7)(m-7)
When you take the square root of both sides what do you need to include.
The plus or minus
In a 1990 commencement address at Oklahoma State University, this U.S. President famously endorsed Eskimo Joe's by mentioning that his wife, Barbara, told him to go grab some of their famous cheese fries.
Who is George H.W. Bush?
Factor 4x2−100.
What is 4(x−5)(x+5) or (2x−10)(2x+10)?
s^2=144
s=12 s=-12
64-81d^2
(8+9d)(8-9d)
The U-shaped curve that represents the graph of a quadratic function.
Parabola
This Stillwater music genre is a blend of rock, folk, and country, named after the color of Oklahoma's soil.
What is Red Dirt Music?
Solve the equation 2x2+5x=3.
What is x=1/2 and x=−3?
(x-6)^2=25
x=11 x=1
12^2-9^2
63
The first step in any factoring problem; it involves finding the largest factor all terms have in common.
GCF (Greatest Common Factor)
The OSU mascot, Pistol Pete, is based on this real-life cowboy and gunfighter.
Who is Frank Eaton?
A quadratic has x-intercepts at x=1/2 and x=−3. Write the equation in standard form.
What is x2+(5/2)x−(3/2)=0?
4(x-1)^2+2=10
What is
x=1+sqrt2
x=1-sqrt2
Solve
n^2+9=6n
(n-3)^2
The specific points where the graph crosses the x-axis; these are found by setting factors to zero.
X-intercepts (or Roots/Zeros)
Stillwater is considered the birthplace of this legendary country music superstar who got his start playing at local venues like Tumbleweed.
Who is Garth Brooks?
The equation of a parabola is y=x2−13x+12. Find the distance between its x-intercepts.
What is 11 units?
Simplify
sqrt( 25/(3)
(5sqrt3)/(3)
y^2+1/2y+1/16
(y+1/4)^2
This acronym is often used to multiply two binomials, but we "reverse" it to factor them.
FOIL (First, Outer, Inner, Last)
The Stillwater High School alumni list includes the founding members of this early 2000s rock band, known for hit songs like "Gives You Hell," "Dirty Little Secret," and their lead singer, Tyson Ritter.
What is The All-American Rejects?