Which theorem states that a polynomial f(x) has a factor (x-c) if and only if f(c) = 0?

What does the Rational Root Theorem help to determine in a polynomial equation?

According to the Remainder Theorem, what is the remainder when a polynomial f(x) is divided by (x - c)?

Which theorem can be used to evaluate a polynomial at a given point using synthetic division to find the value of the remainder?

Which theorem provides a method to test potential rational roots of a polynomial equation?

How does the Factor Theorem help in factoring a polynomial completely?

What conclusion can be drawn using the Rational Root Theorem about the possible rational roots of a polynomial equation 3x^3 - 5x + 2 = 0?

If a polynomial f(x) is divided by a binomial of the form (x - c), what does the Factor Theorem tell us is true when the remainder is zero?

Which theorem would you use to test if a polynomial f(x) has x = 2 as a root by evaluating it directly?

When using the Factor Theorem, what indicates that x - 3 is a factor of the polynomial f(x)?