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

Write down the coefficients of the polynomial.

Front

How do you set up Synthetic Division for (3x^3 + 5x - 1) ÷ (x + 1)?

Back

Use -1 as the divisor and write the coefficients: 3, 0, 5, -1.

Front

What do you do after bringing down the first coefficient in Synthetic Division?

Back

Multiply the divisor by the number just brought down.

Front

In Synthetic Division, what do you do with the results of the multiplication?

Back

Add them to the next coefficient.

Front

What is the remainder in Synthetic Division?

Back

The last number obtained after completing the division process.

Front

What does the result of Synthetic Division represent?

Back

The quotient polynomial and the remainder.

Front

How do you express the result of Synthetic Division?

Back

As a polynomial plus the remainder over the divisor.

Front

What is the result of (x^2 - 6x + 8) ÷ (x - 2)?

Back

x - 4.

Front

What is the significance of the coefficients in Synthetic Division?

Back

They represent the terms of the polynomial in descending order.