Chapter 6 Quadratic Equations By Factoring Worksheet With Answer Key - Mcgraw-Hill Page 7
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10ANSWERS
47.
In exercises 47 to 50, find the zeros of the functions.
48.
2
2
47.
f(x)
3x
24x
36
48.
f(x)
2x
6x
56
49.
2
2
49.
f(x)
4x
16x
20
50.
f(x)
3x
33x
54
50.
Explain the differences between solving the equations 3(x
2)(x
5)
0 and
51.
51.
3x(x
2)(x
5)
0.
52.
52.
How can a graphing calculator be used to determine the zeros of a quadratic
function?
53.
54.
55.
In exercises 53 to 56, write an equation that has the following solutions. Hint: Write the
binomial factors and then the quadratic member of the equation.
56.
2,
3
0, 5
53.
54.
57.
55.
6, 2
56.
4, 4
58.
59.
The zero-product rule can be extended to three or more factors. If a b c
0, then at
60.
least one of these factors is 0. In exercises 57 to 60, use this information to solve the
equations.
61.
3
2
3
2
57.
x
3x
10x
0
58.
x
8x
15x
0
62.
3
3
59.
x
9x
0
60.
x
16x
63.
64.
In exercises 61 to 64, extend the ideas in the previous exercises to find solutions for the
following equations. Hint: Apply factoring by grouping.
65.
3
2
3
2
61.
x
x
4x
4
0
62.
x
5x
x
5
0
66.
67.
4
2
4
2
x
10x
9
0
x
5x
4
0
63.
64.
68.
The net productivity of a forested wetland as related to the amount of water moving
through the wetland can be expressed by a quadratic equation. In exercises 65 to 68, if y
represents the amount of wood produced, in grams per square meter, and x represents the
amount of water present, in centimeters, determine where the productivity is zero in each
wetland represented by the equations.
2
2
65.
y
3x
300x
66.
y
4x
500x
2
2
y
6x
792x
y
7x
1022x
67.
68.
469
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