Solving Quadratic Equations By Factoring Worksheet
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2Name: _________________________ Period: ___________ Date: ____________
SOLVING QUADRATIC EQUATIONS by Factoring
STANDARD TO FACTORED FORM (Algebra 1)
General Quadratic Equation:
STANDARD FORM of a quadratic equation:
HOW TO SOLVE QUADRATIC EQUATIONS:
Step 1:
Write equation in Standard Form.
Step 2:
Factor the quadratic equation FACTORED FORM:
Step 3:
After the problem has been factored we will complete a step called the
“T” step. Create a T separating the two ( ).
Step 4:
Once ( ) are separated, set each ( ) = to 0 and solve for the variable.
Step 5:
Check each of the roots in the ORIGINAL quadratic equation
EXAMPLES: Solve each equation. Check the roots.
2
1.
Find the roots:
2
2.
Solve for y:
y
11
y
24
0
r
12
r
35
0
3.
Find the roots:
2
4.
Find the roots:
2
x
5
x
6
0
x
x
30
5.
Find the roots:
2
6.
Solve for y:
y
2
3
y
28
3
x
3
x
7
x
3
2
3
x
x
7.
Solve for x:
x
x (
) 3
40
8.
Solve for x:
4
8
x
3
9.
Solve for x:
10.
Solve for x:
2
3
x
12
0
5
x
2
Extra : Solve for y:
2
y
10
y
24
0
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