AP Precalculus Unit 1 Review

Front

What must exist between two real zeros of a polynomial?

Back

At least one local minimum or local maximum.

Front

What happens to the graph of a polynomial at an x-intercept with an EVEN multiplicity?

Back

It touches or bounces at the x-intercept.

Front

What does the degree of a polynomial determine?

Back

The maximum number of x-intercepts.

Front

How do you write a polynomial in factored form given the roots 7 and -2i?

Back

(x-7)(x+2i)(x-2i)

Front

If p(a) = 0 for a polynomial function p(x), what can we say about 'a'?

Back

a is a zero or root of p(x).

Front

What is a polynomial?

Back

A mathematical expression consisting of variables and coefficients, involving only non-negative integer exponents.

Front

What is the Fundamental Theorem of Algebra?

Back

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

Front

What is the end behavior of a polynomial function determined by?

Back

The leading term of the polynomial.

Front

What is a turning point in a polynomial graph?

Back

A point where the graph changes direction from increasing to decreasing or vice versa.

Front

What is the relationship between the degree of a polynomial and its turning points?

Back

The maximum number of turning points is one less than the degree of the polynomial.