Polynomial Division: 2 methods

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial of the same or lower degree, resulting in a quotient and a remainder.

Front

What are the two main methods of polynomial division?

Back

The two main methods of polynomial division are long division and synthetic division.

Front

How do you set up synthetic division?

Back

To set up synthetic division, write the coefficients of the polynomial in a row, and use the root of the divisor as the number to the left.

Front

What is the purpose of adding zeros in synthetic division?

Back

Adding zeros in synthetic division is necessary to account for missing degrees in the polynomial, ensuring proper alignment during the division process.

Front

Back

The result will be a polynomial of degree 5, along with a remainder.

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 of the quotient in long division?

Back

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

Front

What is a remainder in polynomial division?

Back

A remainder is the part of the dividend that is left over after division when the divisor does not evenly divide the dividend.

Front

How can you check your work in polynomial 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 the significance of the degree of a polynomial in division?

Back

The degree of a polynomial determines the highest power of the variable and affects the number of terms in the quotient and remainder.