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.

Tags

CCSS.HSA.APR.D.6

Front

What is the first step in Synthetic Division?

Back

Write down the coefficients of the polynomial and the value of c from the divisor (x - c).

Tags

CCSS.HSA.APR.D.6

Front

How do you set up Synthetic Division for the polynomial x^2 - 6x + 8 ÷ (x - 2)?

Back

Use the coefficients [1, -6, 8] and the value 2.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

The result is x - 4 with a remainder of 0.

Tags

CCSS.HSA.APR.D.6

Front

What does the remainder represent in Synthetic Division?

Back

The remainder represents the value of the polynomial at the divisor's root.

Tags

CCSS.HSA.APR.D.6

Front

How do you perform the multiplication step in Synthetic Division?

Back

Multiply the last number obtained by the value of c and write it under the next coefficient.

Tags

CCSS.HSA.APR.D.6

Front

What is the significance of bringing down the next coefficient in Synthetic Division?

Back

It allows you to continue the division process by combining it with the previous result.

Tags

CCSS.HSA.APR.D.6

Front

What is the final answer format for Synthetic Division?

Back

The final answer is expressed as a polynomial plus the remainder over the divisor.

Tags

CCSS.HSA.APR.D.6

Front

What is the missing term in the polynomial 2x^3 + 5x^2 + 9 ÷ (x + 3)?

Back

The missing term is x.

Tags

CCSS.HSA.APR.D.6

Front

What is the result of (3x^3 - 2x^2 - 7x + 6) ÷ (x + 1)?

Back

The result is 3x^2 - 5x - 2 + 8/(x + 1).

Tags

CCSS.HSA.APR.D.6