Polynomial Long and Synthetic Division

Front

What is Polynomial Long Division?

Back

A method for dividing a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.

Tags

CCSS.HSA.APR.D.6

Front

What is Synthetic Division?

Back

A simplified form of polynomial division that is used when dividing by a linear factor, typically represented as (x - c).

Tags

CCSS.HSA.APR.D.6

Front

How do you set up Synthetic Division?

Back

Write the coefficients of the polynomial in a row, and place the zero of the divisor (c) to the left.

Tags

CCSS.HSA.APR.D.6

Front

What is the purpose of adding zeros in Synthetic Division?

Back

To ensure that all degrees of the polynomial are represented, making the division process easier.

Tags

CCSS.HSA.APR.D.6

Front

What does the left-hand box represent in Synthetic Division?

Back

It represents the zero of the divisor, which is used to perform the division.

Tags

CCSS.HSA.APR.D.6

Front

What is the first step in Polynomial Long Division?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What do you do after finding the first term in Long Division?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder in Polynomial Division?

Back

The value left over after dividing a polynomial, which can be expressed as a fraction of the divisor.

Tags

CCSS.HSA.APR.B.2

Front

How do you check your work in Polynomial Long Division?

Back

Multiply the quotient by the divisor and add the remainder; the result should equal the original dividend.

Tags

CCSS.HSA.APR.D.6

Front

What is the significance of changing signs in Synthetic Division?

Back

It ensures that the correct values are subtracted during the division process.

Tags

CCSS.HSA.APR.D.6