Polynomial Functions MCQs

Polynomial Functions MCQs

Our team has conducted extensive research to compile a set of Polynomial Functions MCQs. We encourage you to test your Polynomial Functions knowledge by answering these multiple-choice questions provided below.
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1: The graph of every polynomial function is both _______ and _______.

A.   (-1,1); (0,0); (1,1)

B.   Vertical

C.   Smooth; continuous

D.   Turning point

2: What is a polynomial function?

A.   A function that involves exponentials and logarithms

B.   A function that can be expressed as a sum of power functions

C.   A function that only includes even powers of the variable

D.   A function that has a constant value

3: What is the degree of a polynomial function?

A.   The number of terms in the polynomial

B.   The sum of the exponents in the polynomial

C.   The highest power of the variable in the polynomial

D.   The coefficient of the highest power term in the polynomial

4: Which of the following is a polynomial function?

A.   f(x) = 3x + 2

B.   g(x) = 2x^2 + 5x - 1

C.   h(x) = √x

D.   k(x) = 4/x

5: What does it mean for a polynomial function to be monic?

A.   The function has only one term

B.   The function has a constant value

C.   The coefficient of the highest power term is 1

D.   The degree of the function is equal to 1

6: What is a root of a polynomial function?

A.   The highest power term in the function

B.   The value of x that makes the function equal to zero

C.   The coefficient of the highest power term

D.   The number of terms in the polynomial

7: Which statement is true about the Fundamental Theorem of Algebra?

A.   Every polynomial function can be factored into linear terms

B.   Every polynomial function has exactly one real root

C.   Every polynomial function can be written as a product of linear and quadratic factors

D.   Every polynomial function of degree n has exactly n complex roots, including repeated roots

8: What is the end behavior of a polynomial function determined by?

A.   The leading coefficient and the degree of the polynomial

B.   The constant term and the number of terms in the polynomial

C.   The sum of the exponents in the polynomial

D.   The coefficient of the highest power term in the polynomial

9: How many turning points can a polynomial function of degree n have?

A.   n - 1

B.   n

C.   n + 1

D.   n/2

10: What is the term used to describe a polynomial function with four distinct roots?

A.   Linear

B.   Quadratic

C.   Cubic

D.   Quartic

11: What is the relationship between the zeros and the factors of a polynomial function?

A.   The zeros of the function correspond to the x-intercepts of the graph, while the factors correspond to the linear expressions

B.   The zeros and the factors of a polynomial function are unrelated

C.   The zeros of the function correspond to the y-intercepts of the graph, while the factors correspond to the exponential expressions

D.   The zeros and the factors of a polynomial function are interchangeable terms