Factoring a trinomial by substituting x squared for x to the 4th power

The video tutorial explains how to factor a trinomial of the form X^4 + 7X^2 + 6. The instructor begins by addressing common student difficulties with higher order polynomials and introduces a substitution method to simplify the problem. By substituting X^2 for X^4, the trinomial is rewritten in a more familiar quadratic form. The instructor then demonstrates the factoring process and verifies the solution using the FOIL method. The tutorial concludes with a recap of the steps and the importance of understanding polynomial factoring.

Explain how to check if the factors are correct using the FOIL method.

What is the final factored form of the polynomial X^4 + 7X^2 + 6?