Polynomial Function Quiz

What is the definition of a polynomial function?

• A polynomial function is a function that involves only odd powers of x.

• A polynomial function is a function that has a square root in its equation.

• A polynomial function is a function that can only have one term.

• A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where n is a non-negative integer and a_n, a_(n-1), ..., a_1, a_0 are constants.

How can you identify the degree of a polynomial function from its equation?

• Check the constant term in the equation.

• Look at the coefficient of the variable with the lowest power.

• Look at the highest power of the variable in the equation.

• Count the number of terms in the equation.

Explain the concept of leading coefficient in a polynomial function.

• The leading coefficient in a polynomial function is the coefficient of the term with the highest degree.

• The leading coefficient is the coefficient of the term with the lowest degree in a polynomial function.

• The leading coefficient is always negative in a polynomial function.

• The leading coefficient is the sum of all coefficients in a polynomial function.

Describe the general shape of the graph of a quadratic polynomial function.

• Straight line

• Hyperbola

• Circle

• Parabola

What are the possible number of zeros for a polynomial function?

• Number of terms

• Leading coefficient

• Sum of coefficients

• Degree of the polynomial

How do you find the zeros of a polynomial function graphically?

• Count the number of y-intercepts

• Look for the x-intercepts on the graph where the function crosses the x-axis.

• Look for the maximum value on the graph

• Find the slope of the function at a given point

If a polynomial function has a zero at x=3, what can you say about the graph at that point?

• The graph of the function has a vertical asymptote at x=3.

• The graph of the function crosses the x-axis at x=3.

• The graph of the function is decreasing at x=3.

• The graph of the function has a hole at x=3.

What is the relationship between the roots of a polynomial function and its factors?

• The roots of a polynomial function are unrelated to its factors

• The roots of a polynomial function are always equal to its factors

• The roots of a polynomial function are inversely proportional to its factors

• The roots of a polynomial function correspond to its factors.

Explain the concept of multiplicity of zeros in a polynomial function.

• The multiplicity of zeros refers to the number of zeros in a polynomial function.

• In a polynomial function, multiplicity of zeros indicates the number of terms in the function.

• Multiplicity of zeros is the same as the degree of the polynomial function.

• The concept of multiplicity of zeros in a polynomial function relates to the number of times a specific zero is repeated in the factorization of the polynomial.

How can you determine the end behavior of a polynomial function?

• Look at the y-intercept of the polynomial function.

• Count the number of terms in the polynomial function.

• Look at the degree and leading coefficient of the polynomial function.

• Check the symmetry of the polynomial function.