A2 Unit 2 Mid Review

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient.

Front

What does it mean for a zero of a polynomial to have multiplicity?

Back

A zero has multiplicity if it is a root of the polynomial that appears more than once in its factorization.

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable and affects the shape and end behavior of the graph.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros of a polynomial function, set the polynomial equal to zero and solve for the variable.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division used when dividing by a linear factor.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Front

What is the Factor Theorem?

Back

The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.

Front

What is the end behavior of a polynomial with an even degree and a positive leading coefficient?

Back

As x approaches positive or negative infinity, y approaches positive infinity.