Topic 3 Part 2 Review

Front

What is an even function?

Back

A function f(x) is even if for every x in the domain, f(-x) = f(x). Example: f(x) = x^2 is even.

Front

What is an odd function?

Back

A function f(x) is odd if for every x in the domain, f(-x) = -f(x). Example: f(x) = x^3 is odd.

Front

Determine if f(x) = 2x^5 - 6x^3 + 8x is even, odd, or neither.

Back

f(x) is odd.

Front

Determine if g(x) = |3x| - 7 is even, odd, or neither.

Back

g(x) is even.

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).

Front

What is the remainder when f(x) = 5x^4 + 2x^2 - 6 is divided by (x + 2)?

Back

The remainder is 82.

Front

What is a rational zero?

Back

A rational zero of a polynomial is a solution of the polynomial equation that can be expressed as a fraction p/q, where p and q are integers.

Front

Identify a potential rational zero of f(x) = 6x^3 + 4x - 12.

Back

-4 is a potential rational zero.

Front

Which of the following is NOT a potential rational zero of f(x) = 6x^3 + 4x - 12?

Back

1/12 is NOT a potential rational zero.

Front

What is a complex root?

Back

A complex root is a solution to a polynomial equation that includes imaginary numbers. Example: 5i is a complex root.