Long Division Polynomials

Front

What is long division of polynomials?

Back

Long division of polynomials is a method used to divide a polynomial by another polynomial of lower degree, similar to numerical long division.

Front

What is the first step in long division of polynomials?

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 dividing the leading terms in polynomial long division?

Back

Multiply the entire divisor by the result from the first step and subtract this from the original polynomial.

Front

What is a remainder in polynomial long division?

Back

A remainder is the part of the dividend that is left over after the division process is complete.

Front

How do you express the result of polynomial long division?

Back

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

Front

What is the quotient in polynomial long division?

Back

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

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.

Front

When can you use synthetic division?

Back

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

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 long division to be applicable.

Front

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

Back

The leading coefficient is crucial as it determines the first term of the quotient during the division process.