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Identify polynomials, end behavior and roots

Authored by Robert Miller

Mathematics

10th - 12th Grade

15 Questions

CCSS covered

Used 3+ times

Identify polynomials, end behavior and roots
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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = 3x2 + 4x - 5

Degree 2  (quadratic)
Degree 3 (cubic)
Degree 4 (quartic)
Degree 5 (quintic)

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -5x4 - 3x + 2

Degree 2 (quadratic)
Degree 3 (cubic)
Degree 4 (quartic)
Degree 5 (quintic)

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

Leading Coefficient Positive
Degree - Even
Leading Coefficient Positive
Degree - Odd
Leading Coefficient Negative
Degree - Even
Leading Coefficient Negative
Degree - Odd

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

Leading Coefficient Positive
Degree - Even
Leading Coefficient Positive
Degree - Odd
Leading Coefficient Negative
Degree - Even
Leading Coefficient Negative
Degree - Odd

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the degree of the polynomial function
P(x)=3x4-7x2-2x7-x+4?

4
7
2
1

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0
The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Find the choice that is correct

The leading coefficient is 2, the degree is 4

The leading coefficient is 3, the degree is 2

The leading coefficient is 3, the degree is 4

The leading coefficient is 2, the degree is 2.

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