Alg 2 - Long Division of 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 polynomial long division?

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 in polynomial long division?

Back

Multiply the entire divisor by the term found and subtract the result from the dividend.

Front

What is the purpose of subtracting in polynomial long division?

Back

Subtracting helps to eliminate the leading term of the dividend, allowing you to bring down the next term.

Front

What do you do if the degree of the remainder is less than the degree of the divisor?

Back

If the degree of the remainder is less than the degree of the divisor, you stop the division process.

Front

What is a remainder in polynomial long division?

Back

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

Front

How do you express the final answer in polynomial long division?

Back

The final answer is expressed as the quotient plus the remainder divided by the divisor.

Front

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

Back

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

Front

Can polynomial long division be used for synthetic division?

Back

No, synthetic division is a shortcut method that can only be used when dividing by linear factors.

Front

What is the significance of the leading coefficient in polynomial long division?

Back

The leading coefficient affects the value of the terms in the quotient and can influence the overall behavior of the polynomial.