How to factor a polynomial to the third degree by factoring out an x

The video tutorial explains the process of factoring a cubic polynomial by first identifying the greatest common factor (GCF) and then factoring the resulting quadratic expression. The instructor emphasizes understanding polynomial types, such as trinomials and cubics, and their end behavior. The tutorial uses a step-by-step approach to demonstrate factoring, highlighting the importance of recognizing common terms and applying the rules of exponents.

What is the degree of the polynomial discussed in the video?

• 5

• 2

• 4

• 3

What is the end behavior of the cubic polynomial described?

• Fall left, fall right

• Rise left, rise right

• Fall left, rise right

• Rise left, fall right

What is the first step in factoring a polynomial according to the video?

• Use the quadratic formula

• Find the roots of the polynomial

• Factor out the greatest common factor

• Identify the leading coefficient

What visual method is suggested for understanding factoring?

• Representing with areas and rectangles

• Using a number line

• Drawing a graph

• Using a pie chart

What is the final factored form of the polynomial?

• X(X + 9)(X - 1)

• X^3 + 8X^2 - 9X

• X(X^2 + 8X - 9)

• X + 9 * X - 1