AA2 - 4.3 Day 2 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.

Front

What is the first step in synthetic division?

Back

Write down the coefficients of the polynomial being divided.

Front

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

Back

The value of 'c' from the divisor (x - c) used in the division.

Front

How do you determine the number of zeros needed in synthetic division?

Back

Count the degree of the polynomial being divided and subtract the degree of the divisor.

Front

What is the result of synthetic division called?

Back

The quotient.

Front

If dividing x^6 + 4x^3 + 2, how many zeros are needed in the top row?

Back

4 zeros, because the highest degree is 6 and the divisor is of degree 1.

Front

What is the purpose of bringing down the first coefficient in synthetic division?

Back

To start the process of combining coefficients for the division.

Front

What do you do after bringing down the first coefficient in synthetic division?

Back

Multiply it by the number in the left-hand box and add it to the next coefficient.

Front

What does the final row of synthetic division represent?

Back

The coefficients of the quotient polynomial and the remainder.

Front

How do you express the remainder in synthetic division?

Back

As a fraction over the divisor, e.g., remainder/(x - c).