AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Factoring

Solving Quadratic Equations: Factoring Answers

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1
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Two positive integers are 3 units apart on a number line. Their product is 108.

A
m(m – 3) = 108
B
m(m + 3) = 108
C
(m + 3)(m – 3) = 108
D
(m – 12)(m – 9) = 108
2
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What are the solutions to the equation?x2 + 6x = 40

A
x = −10 and x = 4
B
x = −8 and x = 5
C
x = −5 and x = 8
D
x = −4 and x = 10
3

For what values of x is x2-36=5x true?

A
-9 and -4
B
-4 and 9
C
4 and -9
D
9 and 4
4

Two negative integers are 8 units apart on the number line and have a product of 308.Which equation could be used to determine x, the smaller negative integer?

A
x2 + 8x – 308 = 0
B
x2 – 8x + 308 = 0
C
x2 + 8x + 308 = 0
D
x2 − 8x − 308 = 0
5

Which is a solution to (x − 2)(x + 10) = 13?

A
x = 3
B
x = 8
C
x = 10
D
x = 11
6

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.

A
w(w – 2) = 48
B
w(w + 2) = 48
C
2w(w – 2) = 48
D
2w(w + 2) = 48
7

Which equations can be used to solve for y, the length of the room? Select three options.

A
y(y + 5) = 750
B
y2 – 5y = 750
C
750 – y(y – 5) = 0
D
y(y – 5) + 750 = 0
E
(y + 25)(y – 30) = 0
8

The product of two consecutive negative integers is 600. What is the value of the lesser integer?

A
–60
B
–30
C
–25
D
–15
9

For what values of x is x2 + 2x = 24 true?

A
–6 and –4
B
–4 and 6
C
4 and –6
D
6 and 4
10

Which is a solution to (x – 3)(x + 9) = –27?

A
x = –9
B
x = –3
C
x = 0
D
x = 6

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