Algebra II: Quadratic Equations - Factoring (Level 5 of 10)

The video tutorial covers solving quadratic equations of the form 'x squared plus bx plus c equals zero'. It reviews previous examples with positive and negative coefficients and introduces new cases where b and c have different signs. The tutorial explains how to factor quadratic trinomials and identifies irreducible polynomials. It emphasizes the importance of understanding the signs of coefficients and their impact on factoring. The video concludes with a discussion on prime polynomials and the need for alternative solving techniques when factoring is not possible.

What are the four distinct cases encountered when dealing with quadratic trinomials?

How do you determine if a quadratic trinomial is factorable over the integers?

What does it mean for a polynomial to be irreducible?