Find All of the Zeros of a Polynomial

The video tutorial covers methods to find zeros of polynomials, including solving for X using inverse operations, quadratic formula, completing the square, and factoring. It explains the rational zero test and demonstrates how to use synthetic division to prove zeros. The tutorial emphasizes understanding zeros graphically and concludes with a preview of further practice in the next class.

Which of the following methods is NOT used to find zeros of a polynomial?

• Graphical representation

• Completing the square

• Quadratic formula

• Inverse operations

What does the Rational Zero Test help determine?

• The degree of a polynomial

• Complex zeros of a polynomial

• Possible rational zeros of a polynomial

• The exact zeros of a polynomial

In a graph, where do the zeros of a polynomial appear?

• Asymptotes

• Y-intercepts

• Origin

• X-intercepts

What is the purpose of using synthetic division in finding zeros?

• To graph the polynomial

• To determine the leading coefficient

• To prove a number is a zero

• To find the degree of the polynomial

If X = 1 is a zero of a polynomial, what is the corresponding factor?

• X - 0

• X + 1

• X - 1

• X + 0

What should you do if you don't know the zeros of a polynomial?

• Use only negative numbers

• Use complex numbers

• Guess simple numbers like 1, -1, 2, or -2

• Use only positive numbers

What is the result of factoring X^2 + 4X - 21?

• (X - 3)(X + 7)

• (X + 1)(X - 21)

• (X - 1)(X + 21)

• (X + 3)(X - 7)