Long Division of Polynomials

Front

What is long division of polynomials?

Back

A method for dividing a polynomial by another polynomial, similar to long division with numbers.

Front

What do you call the number that you divide by?

Back

Divisor

Front

The answer to a division question is called the...

Back

Quotient

Front

What is the remainder in polynomial division?

Back

The value left over after dividing a polynomial that cannot be divided evenly.

Front

What is the first step in long division of polynomials?

Back

Divide the leading term of the dividend by the leading term of the divisor.

Front

How do you find the next term in the quotient during polynomial long division?

Back

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

Front

What is synthetic division?

Back

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

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What happens if the degree of the dividend is less than the degree of the divisor?

Back

The quotient is 0 and the dividend is the remainder.

Front

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

Back

It affects the overall behavior and shape of the polynomial graph.