How to apply synthetic division when the zero is a fraction

The video tutorial explains synthetic division, starting with identifying the divisor and zero. It guides through setting up the division using coefficients, performing the division with multiplication and addition, and handling fractions. The tutorial concludes with writing the quotient and remainder, noting that the divisor is not a factor as it doesn't divide evenly.

What is the first step in synthetic division after identifying the zero?

• Add the zero to the dividend

• Set up the division box with coefficients

• Multiply the zero by the divisor

• Subtract the zero from the divisor

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

• Multiplication

• Division

• Addition

• Subtraction

Why is it necessary to find a common denominator when subtracting fractions?

• To simplify the fractions

• To ensure the fractions have the same base

• To make the fractions easier to multiply

• To ensure the fractions can be added

What is the result of multiplying 5/3 by 1/3?

• 1/6

• 5/9

• 5/6

• 1/9

How is the remainder expressed in the final quotient of synthetic division?

• As a whole number

• As a fraction over the divisor

• As a percentage

• As a decimal

What does the presence of a remainder indicate about the factor?

• The factor does not evenly divide the polynomial

• The factor is a root of the polynomial

• The factor evenly divides the polynomial

• The factor is incorrect

Why is it important to remember fraction operations in synthetic division?

• They are essential for accurate results

• They simplify the division process

• They are rarely used in division

• They are only used in advanced mathematics