Applying Rational Zero Test Then Find All of the Zeros

The video tutorial explains how to perform the P/Q test to find zeros of a polynomial. It begins by identifying the factors of P and Q, then sets up all possible combinations of P/Q. The tutorial simplifies these combinations and uses synthetic division to find zeros. It concludes with factoring and solving quadratic equations to determine all zeros, including using the quadratic formula for non-rational zeros.

What does 'P' represent in the P/Q method?

• Variable term

• Leading coefficient

• Exponent

• Constant term

Which of the following is a factor of Q if Q is 4?

• 5

• 2

• 3

• 6

How many possible rational zeros are there after simplification?

• 14

• 28

• 20

• 10

What is the first step in using synthetic division to find zeros?

• Divide the constant term

• Add the coefficients

• Bring down the leading coefficient

• Multiply the divisor

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

• 1

• -2

• -1

• 2

What is the quadratic formula used for?

• Calculating the derivative

• Finding zeros of a quadratic equation

• Solving linear equations

• Finding the sum of roots

What is the discriminant in the quadratic formula?

• b^2 + 4ac

• a^2 + b^2

• b^2 - 4ac

• c^2 - 4ab

What is the result of the quadratic formula for the given polynomial?

• Two rational zeros

• No zeros

• Two irrational zeros

• One rational zero

Which method can be used to quickly identify zeros if a graphing calculator is available?

• Synthetic division

• Graphing technology

• Factoring

• Long division

What is the final step in identifying all zeros of the polynomial?

• Using the quadratic formula

• Listing all factors

• Summarizing the process

• Graphing the polynomial