
Factoring Polynomials: Area and Volume Applications
Authored by Anthony Clark
English, Mathematics
9th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has a rectangular field with an area represented by the polynomial A(x) = x^2 + 5x + 6. If the length of the field is represented by (x + 2), what is the width of the field?
x + 5
x + 1
x + 3
x + 4
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning to build a new playground. The area of the playground can be represented by the polynomial P(x) = x^2 - 9. If one side of the playground is (x - 3), what is the length of the other side?
x + 3
x + 9
x^2 + 3
x - 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length represented by the polynomial L(x) = x^2 + 4x and a width represented by W(x) = x + 2. What is the area of the garden in terms of x?
x^3 + 6x^2 + 8x
x^2 + 2x + 8
x^2 + 6x + 8
x^3 + 4x^2 + 2
Tags
CCSS.HSA.APR.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company produces x^2 - 4x - 12 units of a product. If they can factor this polynomial to find the number of units produced, what are the factors?
(x - 6)(x + 2)
(x - 2)(x + 6)
(x - 4)(x + 3)
(x - 3)(x + 4)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The height of a triangular banner is represented by the polynomial H(x) = x^2 - 5x + 6. If the base of the banner is (x - 2), what is the height in terms of x?
x^2 - 6x + 6
x^2 - 5x + 6
x^2 - 3x + 5
x^2 - 5x + 4
Tags
CCSS.HSA.APR.D.6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular pool has a length of (x + 3) and a width of (x - 1). Write a polynomial expression for the area of the pool and find its value when x = 4.
10
15
30
21
Tags
CCSS.6.EE.A.2C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local artist is creating a mural that can be represented by the polynomial M(x) = x^2 + 3x - 10. If one factor of the mural's design is (x + 5), what is the other factor?
x - 5
x + 10
x - 2
x + 2
Tags
CCSS.HSA.APR.B.2
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