How to use factor theorem to determine if a binomial is factor of polynomial

The video tutorial explains the factor theorem, which states that if a polynomial f(x) has a factor (x - c), then f(c) = 0. It highlights the relationship between zeros and factors, comparing it to the remainder theorem. An example problem is solved to demonstrate the application of the factor theorem, and the possibility of using long division as an alternative method is discussed.

What does the Factor Theorem state about a value that results in zero when plugged into a polynomial?

• The value is a factor of the polynomial.

• The value is a root of the polynomial.

• The value is a constant of the polynomial.

• The value is irrelevant to the polynomial.

How are zeros and factors related according to the video?

• Factors are derived from zeros.

• Zeros are derived from factors.

• They are unrelated concepts.

• They are inversely proportional.

What is the first step in solving a polynomial equation as discussed in the video?

• Apply the zero product property.

• Write the equation from given zeros.

• Factor the polynomial.

• Multiply the factors.

In the example provided, what was the result when checking if X - 1 is a factor?

• It was confirmed as a factor.

• It was not a factor.

• It was inconclusive.

• It was a factor only sometimes.

What alternative method is mentioned for checking factors?

• Graphical method

• Synthetic division

• Long division

• Substitution method