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 is the main question being addressed in the introduction of the video?

• How to solve a quadratic equation

• Whether x-1 is a factor of a given polynomial

• The application of calculus in polynomials

• The history of polynomial theorems

According to the remainder theorem, what does it mean if f(c) equals zero?

• c is the leading coefficient of the polynomial

• c is the degree of the polynomial

• c is a zero of the polynomial

• c is a factor of the polynomial

How are zeros and factors related according to the video?

• A zero is the same as a factor

• A zero is unrelated to a factor

• A zero is always greater than a factor

• A zero can be used to determine a factor

What is the zero of the polynomial if x-1 is a factor?

• x = 0

• x = 1

• x = -1

• x = 2

What conclusion is reached by applying the remainder theorem to f(1)?

• x = 1 is the degree of the polynomial

• x = 1 is a factor

• x = 1 is a zero

• x = 1 is not a zero