AP Precalc Polynomials Practice

Front

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

Back

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

Front

What are the solutions to the inequality x^3 - 4x < 0?

Back

(-∞, -2) ∪ (0, 2)

Front

Determine if the function f(x) = x^3 - 3x is even, odd, or neither.

Back

Odd

Front

List the zeros of the function f(x) = (x + 4)(x - 3)(x - 2).

Back

x = -4, x = 3, x = 2

Front

Identify the zeros of the polynomial function given by the roots x = -2, x = 0, x = 1.

Back

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

Front

What is the degree of the polynomial function y = 2x^4 - 3x^3 + x - 5?

Back

The degree is 4.

Front

How do you find the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree.

Front

What is the significance of the leading term in a polynomial function?

Back

The leading term determines the end behavior of the polynomial.

Front

What does it mean for a polynomial to be factored completely?

Back

A polynomial is factored completely when it is expressed as a product of its linear factors.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by x - c is f(c).