Synthetic Division

Front

What is Synthetic Division?

Back

A method used to divide a polynomial by a linear factor of the form (x - c) without using long division.

Front

What is the first step in Synthetic Division?

Back

Write the coefficients of the polynomial in descending order of degree.

Front

In Synthetic Division, what does the left-hand box represent?

Back

The value of 'c' from the linear factor (x - c) being used for division.

Front

How do you handle missing terms in Synthetic Division?

Back

Use a zero as a placeholder for any missing coefficients.

Front

What is the remainder in Synthetic Division?

Back

The value left after completing the division process, which can be found in the last row.

Front

What is the significance of the coefficients in Synthetic Division?

Back

They represent the polynomial's terms in descending order of degree.

Front

How do you determine the order of coefficients for (3x - 4x^3 + 6x^4 + 1)?

Back

List them as 6, -4, 0, 3, 1, corresponding to x^4, x^3, x^2, x^1, and x^0.

Front

What mistake did Cam make in his Synthetic Division?

Back

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

Front

What is the result of dividing (x^4 + 3x^2 - 4x - 2) by (x - 2) using Synthetic Division?

Back

The quotient is 2x^3 + 4x^2 + 4, with a remainder of 6.

Front

What is the formula for Synthetic Division?

Back

For dividing by (x - c), use the coefficients of the polynomial and perform operations based on c.