Graphing Polynomials

Front

What is the end-behavior of the function y = -x^3 + 6x^2 + 7x?

Back

Up / Down

Front

What does multiplicity of a zero mean?

Back

How many times the zero repeats

Front

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

Back

f(x) = (x+4)(x+1)^2(x-2)(x-4)

Front

Identify the zeros of the polynomial function.

Back

x = -2, x = 0, x = 1

Front

Which of the following could be the factored form for the equation representing the graph shown?

Back

(x-5)^2(x-2)(x+3)

Front

What is a polynomial function?

Back

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 is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What is a zero of a polynomial?

Back

A value of x that makes the polynomial equal to zero.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

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

Back

It determines the end behavior of the polynomial function.