#1
Which term describes the highest power of the variable in a polynomial?
Coefficient
Degree
Constant
Monomial
#2
What is the leading coefficient of the polynomial 3x^2 - 5x + 2?
#3
What is the purpose of factoring a polynomial?
To simplify the polynomial expression
To increase the degree of the polynomial
To find the reciprocal of the polynomial
To change the sign of the polynomial
#4
If a polynomial has only one term, what is it called?
Linear polynomial
Quadratic polynomial
Monomial
Binomial
#5
What is the degree of the zero polynomial?
#6
Which statement is true about the end behavior of a polynomial function with an even degree?
Both ends go up to positive infinity
One end goes up to positive infinity, and the other goes down to negative infinity
Both ends go down to negative infinity
One end goes up to positive infinity, and the other stays near zero
#7
What is the relationship between the roots of a polynomial equation and the x-intercepts of its graph?
They are not related
They are the same
The number of roots is always greater than the number of x-intercepts
The number of roots is always less than the number of x-intercepts
#8
Which theorem states that if a polynomial f(x) is divided by x - c, the remainder is f(c)?
Remainder Theorem
Factor Theorem
Quotient Theorem
Roots Theorem
#9
If a polynomial has only real coefficients, what can be said about its complex roots?
They must be real
They must be imaginary
They can be real or imaginary
They are always equal to the degree of the polynomial
#10
What is the Descartes' Rule of Signs used for in the context of polynomial functions?
Determining the degree of a polynomial
Counting the number of positive or negative roots
Calculating the leading coefficient
Identifying the constant term
#11
For a polynomial function f(x) with a degree of n, how many turning points can it have?
#12
What is the relationship between the multiplicity of a root and its behavior at the x-intercept?
Higher multiplicity results in a sharper turn at the x-intercept
Higher multiplicity results in a smoother curve at the x-intercept
Multiplicity does not affect the behavior at the x-intercept
Multiplicity determines the vertical asymptote at the x-intercept
#13
What does the Fundamental Theorem of Algebra state about the number of roots of a polynomial equation?
It is equal to the degree of the polynomial
It is less than the degree of the polynomial
It is greater than the degree of the polynomial
It is always zero
#14
If a polynomial has no real roots, what can be concluded about its graph?
The graph has no x-intercepts
The graph has no y-intercepts
The graph is a straight line
The graph is a perfect square
#15
What is the multiplicity of a root in a polynomial?
The number of times the root occurs as a factor
The degree of the root
The sum of all roots
The product of all roots