Solving by Factoring
Does Order Matter in a Solution Set
Order Does Not Matter
Does Your Equation Have to Start With x^2
Yes, your equation can not have any coefficients in front of x^2
What Form Does Your Equation Need to be in
ax^2+bx+c=0
How do you solve a radical expression using solving by taking square roots
1. Isolate the radical expression
2. Square both sides
3. Solve for the values of variables
4. Check that you have no extraneous solutions
Define Factoring
You Break Down a Polynomial Into Smaller Expressions That Multiply Together to Make That Polynomial.
Complete The Square:
x^{2}+4x-12=0
x={2,-6}
What Is The Quadratic Formula
x=(-b±√b^2-4ac)/2a
What do you do after you solve?
You always check with a calculator by plugging your answer into each side to make sure they are equal
Factor Completely:
x^{3}-6x^{2}+9x=0
x={0,3}
Complete The Square:
x^{2}+8x-84=0
x={6,-14}
Solve For x Using the Quadratic Formula:
-3x+2x^{2}+2=0
x=(3±√-7)/4
Solve by taking square root
3=√x-1
10=x
Factor Completely:
(24/x)=x-10
x={12,-2}
What do You do If a does not equal 1
You divide out the value of a from all three terms
Solve For x Using the Quadratic Formula:
3x^{2}=6x-3
x={1}
Solve by taking square roots
√56-x=x
x=7
Factor Completely:
2(x+3)^2=14
X={-3+√7,-3-√7}
Complete the square:
2x^{2}-24=6x
x=1.5±√14.25
Solve For x Using the Quadratic Formula:
x^2+1=4x
x=2±√3
Solve by taking square roots
√x+7=2-√x-5
No Solution