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.

Tags

CCSS.HSA.APR.D.6

Front

What is the first step in Synthetic Division?

Back

Write down the coefficients of the polynomial.

Tags

CCSS.HSA.APR.D.6

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.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

Multiply the divisor by the number just brought down.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

Add them to the next coefficient.

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder in Synthetic Division?

Back

The last number obtained after completing the division process.

Tags

CCSS.HSA.APR.D.6

Front

What does the result of Synthetic Division represent?

Back

The quotient polynomial and the remainder.

Tags

CCSS.HSA.APR.D.6

Front

How do you express the result of Synthetic Division?

Back

As a polynomial plus the remainder over the divisor.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

x - 4.

Tags

CCSS.HSA.APR.D.6

Front

What is the significance of the coefficients in Synthetic Division?

Back

They represent the terms of the polynomial in descending order.

Tags

CCSS.HSA.APR.D.6