Polynomial Review!

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

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

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that if a polynomial p(x) is divided by (x - c), the remainder of that division is p(c).

Front

How do you evaluate a polynomial at a given value?

Back

To evaluate a polynomial p(x) at a value x = a, substitute a for x in the polynomial and simplify.

Front

What is polynomial long division?

Back

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

Front

What is factoring in polynomials?

Back

Factoring a polynomial involves expressing it as a product of its factors, which are polynomials of lower degree.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms, from highest to lowest.

Front

What is the sum of polynomials?

Back

The sum of polynomials is obtained by adding the corresponding coefficients of like terms.

Front

What is the product of polynomials?

Back

The product of polynomials is found by multiplying each term in one polynomial by each term in the other polynomial.