Algebra 2 - Graphing Polynomials

Front

What is the degree of a polynomial?

Back

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

Front

Classify the polynomial 2x^2 - 5 by its degree.

Back

Degree of 2.

Front

Identify the end behavior of a polynomial function with an even degree.

Back

As x approaches -∞ and ∞, the function f(x) approaches ∞.

Front

What does it mean for a polynomial to have a zero at x = a?

Back

It means that the polynomial evaluates to zero when x = a.

Front

What is the factored form of a polynomial with zeros at 2, 3, and -1?

Back

(x-2)(x-3)(x+1)

Front

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

Back

The end behavior is determined by the leading term of the polynomial.

Front

What is the leading coefficient of the polynomial 4x^3 - 2x^2 + 5?

Back

The leading coefficient is 4.

Front

What is the significance of the multiplicity of a zero?

Back

Multiplicity indicates how many times a zero is repeated and affects the graph's behavior at that zero.

Front

What is the end behavior of the function y = x^6 - 7x^5 + 7x - 9?

Back

As x approaches -∞, f(x) approaches ∞; as x approaches ∞, f(x) approaches ∞.

Front

What is the difference between odd and even degree polynomials?

Back

Even degree polynomials have the same end behavior on both sides, while odd degree polynomials have opposite end behavior.