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.

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

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