How to factor a trinomial raised to the 4th power by factoring out GCF

The video tutorial covers the process of factoring algebraic expressions. It begins with a review of common terms and the importance of identifying the greatest common factor (GCF). The instructor explains how to factor out the GCF and verify the process through multiplication. The lesson progresses to factoring trinomials, emphasizing finding numbers that multiply to a specific product and add to a specific sum. The tutorial concludes with the complete factored form of the expression.

What is the greatest common factor that should be factored out from the expression X^4 - X^3 - 6X^2?

• X

• 6X

• X^2

• X^3

Why is it important to factor out the greatest common factor rather than just any common factor?

• It simplifies the expression completely.

• It makes the expression more complex.

• It doesn't affect the expression.

• It only works for linear expressions.

How can you verify that your factoring of an expression is correct?

• By adding the factors together.

• By subtracting the factors.

• By multiplying the factors back together.

• By dividing the factors.

What two numbers multiply to -6 and add to -1 in the trinomial X^2 - X - 6?

• 3 and -2

• 1 and -6

• -3 and 2

• -2 and 3

What is the final factored form of the trinomial X^2 - X - 6?

• (X + 3)(X - 2)

• (X - 3)(X + 2)

• (X + 2)(X + 3)

• (X - 2)(X - 3)