End Behavior & Zeros of Polynomials

Front

What is the factored form of the function f(x) = x³+7x²-2x-14?

Back

f(x) = (x²-2)(x+7)

Front

What is the name of the term that affects the end behavior of a polynomial?

Back

Leading Term

Front

What is the Degree of the polynomial f(x)= x³(x + 3)²(x – 5)?

Back

Degree: 6

Front

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

Back

Odd

Front

Factor the function completely: f(x) = x⁴-9x².

Back

f(x) = x²(x+3)(x-3)

Front

What is the end behavior of a polynomial function determined by?

Back

The leading term.

Front

What does a zero of a polynomial represent?

Back

A value of x where f(x) = 0.

Front

How does the degree of a polynomial affect its end behavior?

Back

Higher degree polynomials have more complex end behavior.

Front

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

Back

It determines the direction of the graph as x approaches infinity.

Front

What does it mean if a polynomial has an even degree?

Back

The ends of the graph will point in the same direction.