How to factor a trinomial to a higher power by factoring out GCF and then the quadratic

The video tutorial explains how to find the greatest common factor (GCF) in algebraic expressions. It demonstrates factoring by identifying common terms, specifically focusing on expressions involving X. The instructor simplifies expressions by factoring out X to the 6th power and completes the process by showing the final factored form.

What is the first step in finding the greatest common factor (GCF) of an algebraic expression?

• Identify the highest power of each variable.

• Add all the coefficients together.

• Multiply all the terms.

• Divide the expression by 2.

When factoring out a common variable, what should you do if all terms share the same variable?

• Factor out the variable with the lowest power.

• Factor out the variable with the highest power.

• Ignore the variable and focus on coefficients.

• Factor out the variable with the middle power.

What is the result of factoring X to the 6th power from X to the 8th?

• X squared

• X to the 3rd

• X to the 4th

• X to the 2nd

After factoring out the common factor, what should be done next?

• Add a constant to the expression.

• Multiply the factors back together.

• Divide the expression by the common factor.

• Simplify the remaining expression.

What is the final form of the expression after factoring and simplification?

• X to the 6th times (X - 9) times (X + 3)

• X to the 6th times (X - 7) times (X + 2)

• X to the 6th times (X + 8) times (X - 1)

• X to the 6th times (X - 8) times (X + 1)