Polynomial Function Quiz Questions And Answers
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Have you studied polynomials well during your math class in school? If you think you know it well, try out polynomial function quiz questions and answers. This quiz is all about polynomial function, with all multiple choice. This will help you become a better learner in the basics and fundamentals of algebra. You could either practice or challenge yourself on this quiz to find out whether you are a pro on the topic or you need more practice. All the best!
Questions and Answers
- 1.
The graph of a polynomial function is tangent to its?
- A.
Axis
- B.
Y-axis
- C.
X-axis
- D.
Orbit
Correct Answer
C. X-axisExplanation
The graph of a polynomial function is tangent to its x-axis because when a polynomial function is tangent to the x-axis, it means that the function intersects the x-axis at exactly one point and does not cross it. This occurs when the polynomial function has a root or zero, which is a value of x that makes the function equal to zero. Therefore, the graph of the polynomial function will touch the x-axis at this root, resulting in a tangent.Rate this question:
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- 2.
How many possible roots than fourth-degree polynomials can have?
- A.
4
- B.
3
- C.
5
- D.
2
Correct Answer
A. 4Explanation
A fourth-degree polynomial can have a maximum of four roots. This is because a polynomial of degree n can have at most n distinct roots. In this case, since the polynomial is of degree four, it can have up to four roots. Therefore, the correct answer is 4.Rate this question:
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- 3.
Is a linear function a polynomial?
- A.
Sometimes
- B.
Rarely
- C.
Always
- D.
Never
Correct Answer
C. AlwaysExplanation
A linear function is always a polynomial. A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. A linear function is a polynomial of degree 1, meaning it has one variable raised to the power of 1 and no other variables or exponents. Therefore, it falls under the category of polynomials.Rate this question:
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- 4.
What do you call a polynomial of five degrees?
- A.
Pentanomial
- B.
Heptanomial
- C.
Hexanomial
- D.
None of the above
Correct Answer
D. None of the aboveExplanation
The correct answer is "none of the above" because a polynomial of five degrees is called a quintic polynomial. "Pentanomial" refers to a polynomial with five terms, "heptanomial" refers to a polynomial with seven terms, and "hexanomial" refers to a polynomial with six terms. None of these terms accurately describe a polynomial of five degrees.Rate this question:
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- 5.
What is the graph of a polynomial function?
- A.
Broken
- B.
Continuous
- C.
Sharp end
- D.
Fixed
Correct Answer
B. ContinuousExplanation
A polynomial function is a mathematical function that consists of terms involving variables raised to non-negative integer powers. The graph of a polynomial function is continuous, meaning that it has no breaks or gaps. It is a smooth curve that can be traced without lifting the pencil from the paper. This is because polynomial functions are defined for all real numbers, and there are no restrictions or interruptions in their domain. Therefore, the correct answer is continuous.Rate this question:
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- 6.
What are the x-intercepts of polynomials?
- A.
(0,a)
- B.
Absolute
- C.
Value of y
- D.
Roots
Correct Answer
D. RootsExplanation
The x-intercepts of a polynomial are the values of x where the polynomial intersects the x-axis. These points are also known as the roots of the polynomial. Therefore, the correct answer is "roots".Rate this question:
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- 7.
What do you call a polynomial with two as the highest degree 4?
- A.
Linear
- B.
Quadratic
- C.
Ellipse
- D.
Focal point
Correct Answer
B. QuadraticExplanation
A polynomial is an algebraic expression with multiple terms. The highest degree in a polynomial refers to the exponent of the term with the highest power. In this case, the polynomial has a highest degree of 4, which means the term with the highest power is x^4. A quadratic polynomial is a polynomial with a highest degree of 2, so it does not fit the description given. Therefore, the correct answer is quadratic.Rate this question:
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- 8.
What is the degree of this given, x+2=0?
- A.
0
- B.
1
- C.
2
- D.
3
Correct Answer
B. 1Explanation
The degree of a given equation is determined by the highest power of the variable present in the equation. In this case, the equation x+2=0 is a linear equation, meaning it has a degree of 1. The highest power of the variable x is 1, as there is no x^2 or any higher power term present in the equation. Therefore, the degree of the given equation x+2=0 is 1.Rate this question:
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- 9.
Which is a polynomial of degree 1?
- A.
X+1
- B.
5+5
- C.
Polynomial has no degree 1
- D.
Quadratic
Correct Answer
A. X+1Explanation
The expression "x+1" is a polynomial of degree 1 because it consists of a variable (x) raised to the power of 1 (degree 1) and a constant term (1). The other options, "5+5", "polynomial has no degree 1", and "quadratic", do not meet the criteria of being a polynomial of degree 1.Rate this question:
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- 10.
What is the constant term in this equation, x+25?
- A.
0
- B.
None
- C.
25
- D.
30
Correct Answer
C. 25Explanation
The constant term in an equation is the term that does not contain any variables. In the equation x+25, the constant term is 25 because it does not have any variable attached to it.Rate this question:
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- 11.
How do you define the maximum number of roots in a polynomial?
- A.
Equal to the highest degree of a polynomial
- B.
Given by the polynomial
- C.
Multiplicity
- D.
By the number of roots
Correct Answer
A. Equal to the highest degree of a polynomialExplanation
The maximum number of roots in a polynomial is determined by the highest degree of the polynomial. The degree of a polynomial represents the highest power of the variable in the polynomial expression. Since each root of a polynomial corresponds to a factor of the polynomial, the maximum number of roots can be equal to the degree of the polynomial.Rate this question:
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- 12.
What theorem states that if x-c is a factor of f(x), then it becomes f(c)?
- A.
Factor theorem
- B.
Remainder theorem
- C.
Fundamentals of algebra
- D.
Rational root theorem
Correct Answer
B. Remainder theoremExplanation
The remainder theorem states that if (x-c) is a factor of f(x), then it becomes f(c).Rate this question:
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- 13.
What do you call the shortcut method in dividing polynomials?
- A.
Factor theorem
- B.
Using quadratic formula
- C.
Synthetic division
- D.
Polynomial division
Correct Answer
C. Synthetic divisionExplanation
Synthetic division is a shortcut method used to divide polynomials. It is a process that simplifies the long division of polynomials by using coefficients and remainders. This method is particularly useful when dividing by linear factors. By using synthetic division, one can quickly find the quotient and remainder of the division, making it an efficient technique for dividing polynomials.Rate this question:
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- 14.
What do you call a four-degree polynomial?
- A.
Quadratic
- B.
Linear
- C.
Cubic
- D.
Bi-quadratic
Correct Answer
D. Bi-quadraticExplanation
A four-degree polynomial is called a bi-quadratic polynomial. This is because the prefix "bi-" means two, and a bi-quadratic polynomial has two quadratic terms.Rate this question:
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- 15.
What are the roots of G(x)= (x+2)(x-5)(x-1)?
- A.
-2,5,1
- B.
1,2,3
- C.
4,7,5
- D.
X,x,x
Correct Answer
A. -2,5,1Explanation
The roots of a polynomial are the values of x that make the polynomial equal to zero. In this case, the polynomial G(x)=(x+2)(x-5)(x-1) will be equal to zero when any of the factors (x+2), (x-5), or (x-1) are equal to zero. By setting each factor equal to zero and solving for x, we find that the roots are x=-2, x=5, and x=1. Therefore, the correct answer is -2, 5, 1.Rate this question:
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- 16.
Is the graph of the polynomial function smooth?
- A.
Yes, and broken
- B.
Yes, continuous, and straight
- C.
Yes, continuous, and curve
- D.
No
Correct Answer
C. Yes, continuous, and curveExplanation
The graph of a polynomial function is smooth because it is continuous and has no breaks or jumps. Additionally, the graph of a polynomial function is typically curved, as it can have various shapes such as parabolas, cubic curves, or higher-degree curves. Therefore, the correct answer is "yes, continuous, and curve."Rate this question:
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- 17.
How do you define the turning points of the graph of polynomial functions?
- A.
(n-1)180
- B.
N+1
- C.
N-1
- D.
N+2
Correct Answer
C. N-1Explanation
The turning points of a graph of a polynomial function are defined as the points where the graph changes direction from increasing to decreasing or vice versa. In this case, the correct answer is n-1, which suggests that the number of turning points in the graph is equal to n-1. This means that the graph will have one less turning point than the degree of the polynomial function.Rate this question:
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Jan 30, 2024Quiz Edited by
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Oct 19, 2011Quiz Created by
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