Alg 2 - Polynomial Long & Synthetic Division

Front

What is Polynomial Long Division?

Back

A method used to divide polynomials, similar to long division with numbers, where the dividend is divided by a divisor to find the quotient and remainder.

Front

What is Synthetic Division?

Back

A simplified form of polynomial division that is used when dividing by a linear factor, allowing for quicker calculations.

Front

What is the degree of a polynomial?

Back

Front

How do you determine the number of placeholder zeros needed in polynomial division?

Back

The number of placeholder zeros is equal to the difference between the degree of the dividend and the degree of the divisor.

Front

What is the quotient in polynomial division?

Back

The result obtained after dividing the dividend by the divisor.

Front

What is the remainder in polynomial division?

Back

The amount left over after dividing a polynomial that cannot be divided evenly by the divisor.

Front

What is the first step in Polynomial Long Division?

Back

Divide the leading term of the dividend by the leading term of the divisor to find the first term of the quotient.

Front

What should you do after finding the first term of the quotient in Polynomial Long Division?

Back

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

Front

What is the purpose of adding placeholder zeros in Polynomial Long Division?

Back

To ensure that the polynomial is in the correct form for division, especially when the dividend has a higher degree than the divisor.

Front

How do you check your work in Polynomial Long Division?

Back

Multiply the quotient by the divisor and add the remainder; the result should equal the original dividend.