Polynomial Division

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial of the same or lower degree, resulting in a quotient and possibly a remainder.

Front

What is synthetic division?

Back

Front

What is long division in polynomials?

Back

Long division in polynomials is a method similar to numerical long division, where the dividend is divided by the divisor step by step, resulting in a quotient and a remainder.

Front

How do you perform synthetic division?

Back

1. Write the coefficients of the polynomial. 2. Use the root of the divisor (c) to perform synthetic division. 3. Bring down the leading coefficient, multiply, and add down the column.

Front

What is the remainder theorem?

Back

Front

What is the factor theorem?

Back

Front

What is the quotient in polynomial division?

Back

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

Front

What is the remainder in polynomial division?

Back

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

Front

How do you check your work after polynomial division?

Back

To check your work, multiply the quotient by the divisor and add the remainder. The result should equal the original 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 expression.