What is a polynomial identity?
Finding the Remaining Volume of Consecutive Cubes

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Mathematics, Information Technology (IT), Architecture
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1st - 6th Grade
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
An equation that is true for some values of the variable
An equation that is true for all values of the variable
An equation that is true only for integers
An equation that is never true
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you represent the volume difference between two consecutive cubes?
x squared minus x plus 1 squared
x plus 1 cubed minus x cubed
x plus 2 cubed minus x cubed
x cubed minus x plus 1 cubed
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the volume difference when removing a cube with side length 3 from a larger cube with a consecutive integer side length?
27 cubic units
37 cubic units
57 cubic units
47 cubic units
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the polynomial identity change for consecutive even or odd integers?
It becomes x cubed minus x plus 2 cubed
It becomes x plus 1 cubed minus x cubed
It becomes x squared plus 2x plus 1
It becomes x plus 2 cubed minus x cubed
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified polynomial identity for consecutive even or odd integer cubes?
3x squared plus 3x plus 1
x cubed plus 3x squared plus 3x
6x squared plus 12x plus 8
x squared plus 4x plus 4
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