A2 Polynomial Long Division and Remainders

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 remainder theorem?

Back

The remainder theorem states that when a polynomial f(x) is divided by (x - c), the remainder is f(c).

Front

How do you find the remainder when dividing polynomials?

Back

To find the remainder, use the remainder theorem or perform polynomial 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

What does it mean if the remainder is zero?

Back

If the remainder is zero, it means that the divisor is a factor of the dividend.

Front

How do you express the result of polynomial long division?

Back

The result is expressed as the quotient plus the remainder divided by the divisor.

Front

What is the leading term of a polynomial?

Back

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

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 quotient in polynomial long division?

Back

The quotient is the result of the division, representing how many times the divisor fits into the dividend.

Front

How do you check your work after polynomial long division?

Back

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