Dividing Polynomials

Front

What is polynomial long division?

Back

A method used to divide a polynomial by another polynomial of 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, making calculations easier.

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 find the remainder when dividing polynomials?

Back

Use the Remainder Theorem: evaluate the polynomial at the value that makes the divisor zero.

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 exactly two terms.

Front

What is a trinomial?

Back

A polynomial with exactly three terms.

Front

How do you factor a quadratic polynomial?

Back

Look for two numbers that multiply to the constant term and add to the coefficient of the linear term.