AP Precalculus Unit 1 Review

Front

What is the relationship between imaginary roots of polynomials?

Back

All imaginary roots come in pairs.

Front

What does it mean for a function to be even?

Back

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

Front

What are the zeros of the function p(x) = (x + 3)(x + 1)(x - 2)(x - 5)?

Back

The zeros are -3, -1, 2, 5.

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.

Front

How do you determine where a polynomial function f(x) is greater than zero?

Back

Find the intervals where the graph of f(x) is above the x-axis.

Front

What is the Fundamental Theorem of Algebra?

Back

Every non-constant polynomial function has at least one complex root.

Front

What is a polynomial function?

Back

A function that can be expressed in the form p(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_n ≠ 0.

Front

What is the degree of a polynomial?

Back

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

Front

What does it mean for a function to be odd?

Back

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

Front

What is a linear factor of a polynomial?

Back

A linear factor is an expression of the form (x - a), where a is a root of the polynomial.