PRE CALCULUS Polynomials and Rational Functions

Question 1

What is the degree of the polynomial 3x⁴ - 2x² + x - 7?

Accepted Answer

4

Answer

3

Answer

7

Answer

2

Question 2

What is the Remainder Theorem?

Accepted Answer

When a polynomial f(x) is divided by (x - c), the remainder equals f(c)

Answer

Every polynomial has a remainder

Answer

Remainders are always zero

Answer

The theorem only applies to quadratics

Question 3

What is a vertical asymptote of a rational function?

Accepted Answer

A vertical line x = a where the function approaches infinity, occurring where the denominator equals zero

Answer

A horizontal line the graph approaches

Answer

The y-intercept

Answer

A diagonal line on the graph

Question 4

How many roots can a polynomial of degree n have?

Accepted Answer

At most n real roots

Answer

Exactly n

Answer

Exactly 2n

Answer

At most 1

Question 5

What does the end behavior of a polynomial depend on?

Accepted Answer

The leading coefficient and the degree of the polynomial

Answer

The constant term

Answer

The number of terms

Answer

The middle terms

Question 6

What is the Factor Theorem?

Accepted Answer

If f(c) = 0, then (x - c) is a factor of the polynomial f(x)

Answer

All polynomials can be factored

Answer

Factors are always integers

Answer

The theorem applies only to quadratics