Dividing Polynomials Using Long Division

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 first step in polynomial long division?

Back

The first step is to divide the leading term of the dividend by the leading term of the divisor.

Front

How do you find the quotient in polynomial long division?

Back

The quotient is found by repeatedly dividing, multiplying, and subtracting until the degree of the remainder is less than the degree of the divisor.

Front

What is a remainder in polynomial long division?

Back

A remainder is the part of the dividend that is left over after division when the divisor does not evenly divide the dividend.

Front

What is the leading term of a polynomial?

Back

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

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; the result should equal the original dividend.

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 synthetic division?

Back

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

Front

When can you use synthetic division?

Back

You can use synthetic division when dividing a polynomial by a linear polynomial of the form (x - c).

Front

What is the quotient when (21x^2 - 52x + 32) is divided by (7x - 8)?

Back

3x - 4.