Synthetic Division

Front

What is synthetic division?

Back

A method for dividing 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 and the zero of the divisor (c) on the left.

Tags

CCSS.HSA.APR.D.6

Front

In synthetic division, what does the left-hand box represent?

Back

The zero of the divisor, which is the value of c in (x - c).

Tags

CCSS.HSA.APR.D.6

Front

How do you find the quotient in synthetic division?

Back

Perform the synthetic division process, which involves bringing down coefficients and multiplying and adding them.

Tags

CCSS.HSA.APR.D.6

Front

What is the result of (2x^3 - 5x - 7) ÷ (x - 2)?

Back

2x^2 + 4x + 3 - 1/(x - 2).

Tags

CCSS.HSA.APR.D.6

Front

What is the next step after bringing down a number in synthetic division?

Back

Multiply the number just brought down by the zero of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

What do you do after multiplying in synthetic division?

Back

Add the result to the next coefficient.

Tags

CCSS.HSA.APR.D.6

Front

What is the purpose of synthetic division?

Back

To simplify the process of dividing polynomials and to find the quotient and remainder.

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder in synthetic division?

Back

The last number obtained after completing the synthetic division process.

Tags

CCSS.HSA.APR.D.6

Front

What is the next step in synthetic division after adding coefficients?

Back

Bring down the next coefficient.

Tags

CCSS.HSA.APR.D.6