7.4IP 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 can stop the division process.

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 remainder in polynomial long division?

Back

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

Front

What is the leading term of a polynomial?

Back

The leading term of a polynomial is the term with the highest degree.

Front

How do you check your work in polynomial long division?

Back

You can check your work by multiplying the quotient by the divisor and adding the remainder; the result should equal the original polynomial.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.