How to factor a trinomial raised to the third power by factoring out an x first

The video tutorial explains the process of factoring polynomials, starting with identifying the greatest common factor (GCF). It demonstrates how to factor out common terms and achieve the final factored form of a polynomial expression. The tutorial emphasizes understanding the steps involved in factoring and practicing the method.

What is the first step in factoring polynomials to a higher power?

• Identify the greatest common factor (GCF)

• Add a constant term

• Divide by the highest power

• Multiply all terms

When factoring out a common factor, what should you look for in the terms?

• A constant term

• The smallest exponent

• The largest coefficient

• A shared variable or number

After factoring out an 'X', what is the resulting expression from X^3 - 4X^2 - 5X?

• X(X^2 - 4X - 5)

• X^2 - 4X - 5

• X^3 - 4X^2 - 5

• X(X^2 + 4X + 5)

What is the factor form of the expression X^2 - 4X - 5?

• (X + 4)(X - 5)

• (X - 4)(X + 5)

• (X + 5)(X - 1)

• (X - 5)(X + 1)

What is the purpose of practicing factor forms?

• To change the variable in the expression

• To add more terms to the expression

• To simplify polynomial expressions

• To increase the degree of polynomials