Synthetic Division

Front

What is synthetic division?

Back

A method for dividing a polynomial by a binomial of the form (x - c) without using long division.

Front

What is the dividend in polynomial division?

Back

The polynomial that is being divided.

Front

What is the divisor in polynomial division?

Back

The polynomial by which the dividend is divided.

Front

What is the quotient in polynomial division?

Back

The result of the division of the dividend by the divisor.

Front

What is the remainder in polynomial division?

Back

The amount left over after division when the dividend is not evenly divisible by the divisor.

Front

When should synthetic division be used?

Back

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

Front

What is the first step in synthetic division?

Back

Write down the coefficients of the dividend in descending order.

Front

How do you handle missing terms in synthetic division?

Back

Use a coefficient of 0 for any missing terms.

Front

What is the relationship between the degree of the dividend and the degree of the quotient?

Back

The degree of the quotient is one less than the degree of the dividend.

Front

What is the standard form of a polynomial?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.