Applying Rational Zero Test Then Find All of the Zeros

The video tutorial explains how to find all possible rational zeros of a polynomial using the rational zero test. It covers determining P and Q, listing possible rational zeros, and using synthetic division to verify them. The tutorial also demonstrates factoring and solving for remaining zeros, emphasizing the use of graphing technology to simplify the process.

What is the first step in applying the Rational Zero Test to a polynomial?

• Identify the degree of the polynomial

• Determine the factors of the constant term and leading coefficient

• Graph the polynomial

• Find the derivative of the polynomial

Which of the following is a factor of the constant term P in the given polynomial?

• 16

• 8

• 3

• 4

How many possible rational zeros are there before simplification?

• 3

• 6

• 12

• 8

What is the purpose of using synthetic division in this context?

• To determine the degree of the polynomial

• To simplify the polynomial

• To verify if a number is a zero of the polynomial

• To find the derivative of the polynomial

Which number was found to be a zero using synthetic division?

• 2

• 1

• 0

• -1

What is the next step after finding a zero using synthetic division?

• Find the derivative

• Factor the polynomial

• Graph the polynomial

• Add a constant term

What method is used to factor the polynomial after finding a zero?

• Grouping

• Synthetic division

• Long division

• Completing the square

Which of the following is a zero of the polynomial after factoring?

• 1/2

• -1/2

• 3/4

• 2

What is the final step in solving for all zeros of the polynomial?

• Finding the derivative

• Applying the zero product property

• Using the quadratic formula

• Graphing the polynomial

Which of the following is NOT a zero of the polynomial?

• 2

• 1

• 3/4

• -1/8