AP Precalculus Unit 1 Review

Front

What does the Complex Conjugate Root Theorem state about complex roots?

Back

If a polynomial has a complex root a + bi, then its complex conjugate a - bi is also a root.

Front

If x = a is a zero of a polynomial function p(x), what can be said about (x - a)?

Back

(x - a) is a linear factor of p(x).

Front

What is the definition of an even function?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain.

Front

What is the definition of an odd function?

Back

A function f(x) is odd if f(-x) = -f(x) for all x in the domain.

Front

If a + bi is a root of a polynomial, what is the other root?

Back

The other root is a - bi.

Front

What does 'over equal-length interval' mean in the context of functions?

Back

It means the x-values are evenly spaced.

Front

What is a polynomial function?

Back

A polynomial function is a function that can be expressed in the form p(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

Front

What is a zero of a polynomial function?

Back

A zero of a polynomial function p(x) is a value x = a such that p(a) = 0.

Front

What is the degree of a polynomial?

Back

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

Front

What is the Fundamental Theorem of Algebra?

Back

The Fundamental Theorem of Algebra states that every non-constant polynomial function has at least one complex root.