Given a zero find the remaining zeros

The video tutorial covers synthetic division, highlighting its setup and potential challenges, especially when dealing with radicals. It explains the concept of conjugate pairs and their role in finding zeros and factors. The tutorial demonstrates multiplying conjugate pairs to derive factors and compares long division with synthetic division, emphasizing the ease of long division in certain cases.

What is the first step in setting up synthetic division?

• Identify the zero and take the coefficients

• Multiply the coefficients

• Add the coefficients

• Subtract the coefficients

Why might using radicals in synthetic division be challenging?

• They can lead to irrational numbers

• They are always integers

• They simplify the process

• They are easy to multiply

What is a conjugate pair?

• Two identical numbers

• A positive and a negative root

• Two positive roots

• Two negative roots

When solving X^2 - 1 = 0, what are the solutions?

• X = 1

• X = ±2

• X = ±1

• X = 0

What is the result of multiplying conjugate pairs?

• A product of squares

• A difference of squares

• A sum of squares

• A quotient of squares

What is the advantage of using long division over synthetic division in some cases?

• It is more accurate

• It avoids dealing with radicals

• It is faster

• It requires fewer steps

What are the zeros of the polynomial discussed in the video?

• ±1 and ±2

• ±2√3 and ±2√2

• ±3√2 and ±3√3

• ±2 and ±3