Algebra 2 Final Review S1

Front

What is the rule for simplifying expressions with negative exponents?

Back

Front

What is the process for solving a polynomial equation by factoring?

Back

To solve a polynomial equation by factoring, express the polynomial as a product of its factors, set each factor equal to zero, and solve for the variable.

Front

What is the formula for finding the maximum profit in a quadratic profit function?

Back

Front

What does the leading coefficient of a polynomial indicate about its end behavior?

Back

The leading coefficient determines the direction of the graph as x approaches positive or negative infinity. If the leading coefficient is positive, the graph rises to the right; if negative, it falls to the right.

Front

What is synthetic division and when is it used?

Back

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial and determines the number of roots and the end behavior of the graph.

Front

How do you identify a root of a polynomial function?

Back

A root of a polynomial function is a value of x that makes the function equal to zero. It can be found by factoring the polynomial or using the Rational Root Theorem.

Front

What is the difference between even and odd degree polynomials in terms of their end behavior?

Back

Even degree polynomials have the same end behavior (both ends up or both ends down), while odd degree polynomials have opposite end behavior (one end up and one end down).

Front

What is the remainder theorem in polynomial division?

Back

The remainder theorem states that if a polynomial f(x) is divided by (x - c), the remainder is f(c). This helps in finding roots and evaluating polynomials.

Front

What is the purpose of using a zero placeholder in synthetic division?

Back

A zero placeholder is used in synthetic division to maintain the correct alignment of coefficients for terms that are missing in the polynomial.