AP Precalculus Unit 1 Review

Front

What are the roots of the polynomial function y = (x + 2)(x - 7)^3?

Back

-2, 7 (with multiplicity 3)

Front

Do polynomials of even degree have both a global maximum and a global minimum?

Back

FALSE

Front

Between 2 real zeros of a polynomial, must there be at least one local minimum or local maximum?

Back

TRUE

Front

What is the correct factored form with roots 2, 5i, and 6?

Back

(x-6)(x-2)(x+5i)(x-5i)

Front

If a+bi is a root of a polynomial, what is also a root?

Back

a-bi

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What is a polynomial function?

Back

A function that can be expressed in the form f(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 does it mean for a root to have multiplicity?

Back

Multiplicity refers to the number of times a particular root appears in the polynomial.

Front

What is the Fundamental Theorem of Algebra?

Back

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

Front

What is the relationship between the degree of a polynomial and the number of roots?

Back

A polynomial of degree n has exactly n roots in the complex number system, counting multiplicities.