Learn how to factor a trinomial by factoring it twice

The video tutorial addresses common mistakes in factoring, emphasizing the importance of factoring out the greatest common factor (GCF) from the start. It explains that while X is a common factor, the GCF in the given example is X^3. The tutorial then demonstrates how to factor a quadratic expression using this technique, making the process easier once the GCF is identified.

What is the greatest common factor that should be factored out first in the given polynomial?

• X^4

• X^3

• X^2

• X

When factoring X^3 from the polynomial, what is the resulting expression?

• X^2 + 8X - 9

• X^2 + 8X + 9

• X^2 - 8X + 9

• X^2 - 8X - 9

What is the next step after factoring out the greatest common factor X^3?

• Solve the quadratic equation

• Factor the quadratic expression

• Multiply the terms back together

• Divide by the greatest common factor

What is the final factorization of the polynomial?

• X^3(X - 1)(X + 1)

• X^3(X - 9)(X + 9)

• X^3(X + 9)(X + 1)

• X^3(X - 9)(X - 1)

Why is it important to factor out the greatest common factor first?

• It increases the degree of the polynomial

• It eliminates the need for further factoring

• It changes the polynomial to a linear equation

• It simplifies the polynomial for easier factoring