Find All the Remaining Rational Zeros Given One Zero

The video tutorial covers the application of the rational zero test to identify and verify rational zeros of polynomials. It explains the process of using division, particularly synthetic division, to find zeros and factors. The tutorial also demonstrates solving quadratic equations to determine all zeros, emphasizing the importance of understanding factors and the fundamental theorem of algebra.

What is the first step in applying the rational zero test?

• Perform synthetic division

• Use the quadratic formula

• Solve the quadratic equation

• List the factors of the constant term and leading coefficient

If 2 is a zero of a polynomial, what does it imply?

• 2 is not a factor

• 2 is a complex zero

• 2 is a rational zero

• 2 is an irrational zero

Which method is suggested for finding additional zeros when one zero is known?

• Long division

• Trial and error

• Synthetic division

• Graphical method

What is the role of the quotient in synthetic division?

• It is the remainder

• It is a factor of the original polynomial

• It is used as a new polynomial

• It is discarded

What is one method to solve a quadratic equation when a is not equal to 1?

• Use the quadratic formula

• Graph the equation

• Apply the rational zero test

• Use synthetic division

How many zeros should be found for a cubic polynomial according to the fundamental theorem of algebra?

• One

• Two

• Three

• Four

Which of the following is a rational zero of the polynomial if -5 is a zero?

• 5/2

• -5/1

• 1/3

• 3/4