Applying synthetic division when your dividend is missing a term

The video tutorial covers the process of long division, focusing on finding zeros and handling missing terms in polynomials. It explains the use of synthetic division, detailing the steps involved and the importance of place value. The tutorial concludes with calculating the final answer and remainder, emphasizing the structure of polynomial expressions.

What is the first step in practicing long division according to the video?

• Multiply the coefficients

• Calculate the remainder

• Find your zero

• Identify the divisor

How should you handle a missing term in a polynomial during long division?

• Use a placeholder zero

• Ignore the missing term

• Multiply the existing terms

• Add a random number

What is the significance of place value in synthetic division?

• It helps in identifying the divisor

• It is used to calculate the remainder

• It determines the degree of the polynomial

• It ensures correct alignment of coefficients

What is the remainder when performing synthetic division in the example given?

• 0

• 1

• 2

• 3

What is the final form of the polynomial after synthetic division?

• X^3 + 3X^2 + 3X + 4 + 2/(divisor)

• X^3 + 3X^2 + 3X + 4 + 1/(divisor)

• X^3 + 2X^2 + 3X + 1

• X^3 + 3X^2 + 3X + 4