Synthetic Division

Front

What is synthetic division?

Back

A method for dividing a polynomial by a linear binomial of the form (x - c) using coefficients.

Front

What is the first step in synthetic division?

Back

Write down the coefficients of the polynomial in descending order.

Front

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

Back

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

Front

What is the role of zero placeholders in synthetic division?

Back

To represent missing terms in the polynomial when the degree is not consecutive.

Front

How do you determine the coefficients for synthetic division?

Back

List the coefficients of the polynomial in order of decreasing degree.

Front

What is the significance of the remainder in synthetic division?

Back

It represents the value of the polynomial at x = c.

Front

What mistake did Cam make in his synthetic division?

Back

He did not use a zero placeholder for the x^3 term.

Front

How do you write the final answer after synthetic division?

Back

Combine the quotient and the remainder, typically in the form of a polynomial.

Front

What is the order of coefficients for the polynomial (3x - 4x^3 + 6x^4 + 1) when divided by (x + 3)?

Back

6, -4, 0, 3, 1.

Front

What is a common error in synthetic division?

Back

Adding instead of subtracting the rows during the process.