Synthetic Division

Front

What is Synthetic Division?

Back

A method used to divide a polynomial by a linear binomial of the form (x - c) without using long division.

Front

What is the first step in Synthetic Division?

Back

Identify the zero of the divisor (x - c), which is c.

Front

How do you set up Synthetic Division?

Back

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

Front

What do you do with the first coefficient in Synthetic Division?

Back

Bring down the first coefficient as is.

Front

What is the process of multiplying in Synthetic Division?

Back

Multiply the number you just brought down by c and write the result under the next coefficient.

Front

What do you do after writing the product in Synthetic Division?

Back

Add the product to the next coefficient.

Front

What does the final row in Synthetic Division represent?

Back

The coefficients of the quotient polynomial and the remainder.

Front

How do you interpret the result of Synthetic Division?

Back

The result gives you the quotient polynomial and the remainder, which can be expressed as: quotient + remainder/(x - c).

Front

What is the remainder in Synthetic Division?

Back

The last number in the final row after completing the addition process.

Front

Can Synthetic Division be used for any polynomial?

Back

Synthetic Division can only be used when dividing by a linear binomial of the form (x - c).