Dividing Polynomials

Front

What is polynomial long division?

Back

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

Front

What is synthetic division?

Back

A simplified form of polynomial division that is used when dividing by a linear factor of the form (x - c).

Front

What is the remainder theorem?

Back

If a polynomial f(x) is divided by (x - c), the remainder is f(c).

Front

What is the factor theorem?

Back

A polynomial f(x) has a factor (x - c) if and only if f(c) = 0.

Front

How do you perform synthetic division?

Back

1. Write the coefficients of the polynomial. 2. Use the root of the divisor (c) in the synthetic division box. 3. Bring down the leading coefficient, multiply, and add down the column.

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What is a monomial?

Back

A polynomial with only one term.

Front

What is a binomial?

Back

A polynomial with two terms.

Front

What is a trinomial?

Back

A polynomial with three terms.

Front

What is the standard form of a polynomial?

Back

A polynomial expressed in descending order of its degree.