Dividing Polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial, similar to long division with numbers.

Front

What is the quotient in polynomial division?

Back

The quotient is the result of dividing one polynomial by another.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

Front

What is the remainder in polynomial division?

Back

The remainder is what is left over after dividing one polynomial by another.

Front

What is the first step in dividing polynomials?

Back

The first step is to arrange the polynomials in descending order of their degrees.

Front

How do you check your work after dividing polynomials?

Back

You can check your work by multiplying the quotient by the divisor and adding the remainder; it should equal the original polynomial.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing polynomials, particularly useful when dividing by linear factors.

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 does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.