How to use the remainder theorem for polynomials

The video tutorial explains how to determine if a given expression is a factor of a polynomial using the remainder theorem. It discusses the relationship between zeros and factors, and demonstrates how to apply the theorem by testing if x-1 is a factor of a polynomial. The process involves evaluating the polynomial at a specific value and checking if the result is zero, confirming the factor status.

What does the remainder theorem state about a function when a number is plugged in?

How are zeros and factors related according to the text?

If x minus 1 is a factor, what is the corresponding zero?

What is the result of f of 1 when evaluated as described in the text?

What conclusion can be drawn about x minus 1 based on the evaluation of f of 1?