Synthetic Division

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What is synthetic division?

Back

A method used to divide a polynomial by a binomial of the form (x - c) efficiently.

Front

What is the first step in synthetic division?

Back

Identify the value of c from the binomial (x - c) and set up the synthetic division format.

Front

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

Back

The value of c from the binomial (x - c) being used for division.

Front

What is the significance of the remainder in synthetic division?

Back

If the remainder is zero, it indicates that the binomial is a factor of the polynomial.

Front

How do you determine the next step after bringing down a number in synthetic division?

Back

Multiply the number brought down by c and add it to the next coefficient.

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Back

Front

What does it mean if the remainder is not zero in synthetic division?

Back

It means that the binomial is not a factor of the polynomial.

Front

What is the formula for synthetic division?

Back

The process involves setting up coefficients of the polynomial and performing a series of multiplications and additions.

Front

What is the role of coefficients in synthetic division?

Back

Coefficients of the polynomial are used in the synthetic division process to perform calculations.

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What happens to the degree of the polynomial after synthetic division?

Back

The degree of the resulting polynomial is one less than the degree of the original polynomial.