Synthetic Division

Front

What is Synthetic Division?

Back

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

Front

What is the first step in Synthetic Division?

Back

Identify the root 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 the root 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 after bringing down the first coefficient?

Back

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

Front

What do you do after writing the result under the next coefficient?

Back

Add the two numbers in that column.

Front

What is the significance of the last number in Synthetic Division?

Back

It represents the remainder of the division.

Front

What is the degree of the result in Synthetic Division?

Back

The degree of the result is one less than the degree of the original polynomial.

Front

How do you interpret the coefficients obtained from Synthetic Division?

Back

They represent the coefficients of the quotient polynomial.

Front

What is the result of dividing x^3 - 3x^2 - 10x + 24 by x + 3?

Back

x^2 - 6x + 8.