Learn to Find All of the Zeros of a Polynomail Using Synthetic Division

The video tutorial explains the rational zero test, which helps identify possible rational zeros of a polynomial. It covers finding the constant and leading coefficient, graphing to find real zeros, and using synthetic division to determine factors. The tutorial also demonstrates factoring to find all zeros, emphasizing the importance of understanding real rational zeros and their limitations.

What is the first step in applying the rational zero test to a polynomial?

• Graph the polynomial.

• Identify the degree of the polynomial.

• Find the factors of the leading coefficient.

• Determine the factors of the constant term.

Which of the following is NOT covered by the rational zero test?

• Both irrational and imaginary zeros

• Irrational zeros

• Imaginary zeros

• Real rational zeros

What is the purpose of graphing a polynomial in the context of finding zeros?

• To identify the leading coefficient

• To find the real X intercepts

• To calculate the constant term

• To determine the degree of the polynomial

What method is used to find another factor of a polynomial after identifying a zero?

• Rational zero test

• Graphing

• Synthetic division

• Long division

If X = 2 is a zero of a polynomial, what is the corresponding factor?

• 2X

• X + 2

• X - 2

• X^2 - 2