Graphing Polynomials Practice

Front

What are the zeros of the polynomial function f(x)=(x+4)(x-3)(x-2)?

Back

The zeros are x = -4, x = 3, x = 2.

Front

What is the degree of the polynomial -x^8-9x^7-6x^5+9x-1?

Back

The degree is 8.

Front

Identify the zeros of the polynomial function with the options: x=-2, x=-1, x=0, x=-2, x=0, x=-1, x=0, x=2, x=-2, x=0, x=1.

Back

The zeros are x = -2, x = 0, x = 1.

Front

Can a polynomial of degree 3 sometimes have a graph that does not reflect this degree?

Back

No, it will never have a graph that does not reflect this degree.

Front

Which of the following could be the equation of a polynomial in factored form: f(x) = (x-4)(x-1)^2(x+2)(x+4), f(x) = (x-4)(x+1)^2(x+2)(x+4), f(x) = (x-4)(x-1)^2(x-2)(x+4), f(x) = (x+4)(x+1)^2(x-2)(x-4)?

Back

The correct equation is f(x) = (x+4)(x+1)^2(x-2)(x-4).

Front

What is the definition of a polynomial function?

Back

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 a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What does the degree of a polynomial indicate?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial.

Front

How do you find the zeros of a polynomial?

Back

To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial's graph.

Front

What is multiplicity in the context of polynomial roots?

Back

Multiplicity refers to the number of times a particular root is repeated in a polynomial.