How to divide two polynomials using synthetic division

The video tutorial explains synthetic division, a method used to divide polynomials more quickly than long division. It begins with an introduction to the concept, emphasizing the need for a linear factor. The tutorial then guides viewers through setting up the division by arranging coefficients and performing the division process, which involves multiplying and adding along specific paths. The results are interpreted to identify the remainder, constant, and coefficients of the polynomial terms. Finally, the tutorial concludes by discussing how these results can be applied to identify factors of the original polynomial.

What is the first step in setting up synthetic division?

• Identify the zero and write down the coefficients of the dividend

• Multiply the coefficients

• Add the coefficients

• Divide the coefficients

In synthetic division, what operation is performed on the diagonal?

• Subtraction

• Division

• Addition

• Multiplication

What is the result of adding 7 and -2 in the synthetic division process?

• 9

• 5

• 0

• -5

What does the last number in the synthetic division result represent?

• The constant term

• The linear coefficient

• The remainder

• The quadratic coefficient

How can the quotient from synthetic division be used?

• As a dividend

• As a remainder

• As a factor

• As a divisor