Dividing Polynomials

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 dividing polynomials using 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 handle the remainder in polynomial division?

Back

The remainder is expressed as a fraction with the divisor as the denominator, added to the quotient.

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 division that can be used when dividing by a linear factor.

Front

When can synthetic division be used?

Back

Synthetic division can be used when dividing a polynomial by a linear polynomial of the form (x - c).

Front

What is the relationship between the degree of the dividend and the degree of the divisor in polynomial division?

Back

The degree of the dividend must be greater than or equal to the degree of the divisor for polynomial division to be performed.

Front

What is the quotient in polynomial division?

Back

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

Front

What is a remainder in polynomial division?

Back

The remainder is what is left over after dividing the polynomial, which cannot be divided by the divisor anymore.

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.