Learn How to Determine the Zeros of a Polynomial by Factoring a Trinomial

The video tutorial covers the process of factoring quadratic equations, starting with setting Y to zero. It explains how to factor X^2 + 10X + 16 into (X+8)(X+2) and addresses the challenge of solving equations involving X^4. The tutorial further explores solving these equations by setting them to zero and introduces the concept of square roots and imaginary numbers, particularly focusing on the square root of negative numbers and the use of 'i' to represent sqrt(-1).

What is the result when you take the square root of a negative number?

Explain how the expression X = ± sqrt(2) i is derived from the quadratic equation.