Determine if you have a factor of a polynomial using the factor theorem

The video tutorial explains the factor theorem and its connection to the remainder theorem. It covers polynomial factorization using long and synthetic division, emphasizing the application of the factor and remainder theorems to identify zeros and factors. The tutorial includes a step-by-step verification of the factor theorem through calculations, concluding with final remarks.

What is the relationship between the factor theorem and the remainder theorem?

Explain the process of using synthetic division as mentioned in the text.

How can you determine if x + 1 is a factor of the polynomial f(x) = -3x^3 - 2x^2 + x - 5?

What does it mean if f(-1) is equal to 0 in the context of the factor theorem?

Describe the steps taken to evaluate f(-1) for the polynomial given in the text.