Solving Quadratics By Factoring Worksheet - Chapter 14-1 Page 6

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Section 14–1
Solving Quadratics by Factoring
Exercise 1
Solving Quadratics by Factoring
Pure and Incomplete Quadratics
Solve for x.
2
2
1.
2x
5x
2.
2x
40x
0
3.
3x(x
2)
x(x
3)
4.
2x
2
6
66
2
2
2
2
5.
5x
3
2x
24
6.
7x
4
3x
40
7.
(x
2)
2
4x
5
8.
5x
2
2
3x
2
6
2
2
9.
8.25x
2.93x
0
10.
284x
827x
Complete Quadratics
Solve for x.
x
2
x
2
11.
2x
15
0
12.
6x
16
0
2
2
13.
x
x
20
0
14.
x
13x
42
0
x
2
x
x
2
15.
2
0
16.
7x
12
0
17.
2x
2
3x
5
0
18.
4x
2
10x
6
0
2
2
x
19.
2x
5x
12
0
20.
3x
2
0
2
2
21.
5x
14x
3
0
22.
5x
3x
2
0
2
x
2
23.
2x
24.
(x
6)(x
6)
5x
There are no applications in the
3
fi rst few exercise sets. These will
x(x
2
x
2
25.
5)
36
26.
(2x
3)
2x
come a little later.
5
7
1
1
2
2
27.
x
x
28.
x
4
x
6
6
4
3
Literal Equations
Solve for x.
29.
4x
2
16ax
12a
2
0
30.
14x
2
23ax
3a
2
0
2
2
2
2
31.
9x
30bx
24b
0
32.
24x
17xy
3y
0
Writing the Equation from the Roots
Write the quadratic equations that have the following roots.
33.
x
4 and x
7
34.
x
3 and x
5
2
3
x
and x
x
p and x
q
35.
36.
3
5
Radical Equations
Solve each radical equation for x, and check.
2
37.
5x
3x
41
3x
7
4
3 x
38.
1
4
x
1
12
x
39.
5
x
12
40.
7x
8
5x
4
2

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