Polynomial Division

Front

What is polynomial division?

Back

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

Front

What is the result of dividing a polynomial by a monomial?

Back

The result is obtained by dividing each term of the polynomial by the monomial.

Front

How do you set up synthetic division?

Back

To set up synthetic division, write the coefficients of the polynomial in a row and use the root of the divisor as the number to the left.

Front

What is the purpose of synthetic division?

Back

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

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 a polynomial by another polynomial when the division is not exact.

Front

How do you find 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 relationship between the degree of the dividend and the degree of the divisor in polynomial division?

Back

The degree of the quotient will be the degree of the dividend minus the degree of the divisor.

Front

What is the first step in dividing polynomials?

Back

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

Front

What do you do after finding the first term of the quotient?

Back

Multiply the entire divisor by the first term of the quotient and subtract this from the dividend.