Factor Theorem If r is a zero of the polynomial P(x), then x r is a factor of P(x). Conversely, if x r is a factor of P(x), then r is a zero of P(x). The relationship between zeros, roots, factors, and x intercepts is fundamental to the study of polynomials. With the addition of the factor theorem, we now know that the following statements are equivalent for any polynomial P(x): 1. r is a root of the equation P(x) 0. 2. r is a zero of P(x). 3. x r is a factor of P(x). If, in addition, the coefficients of P(x) are real numbers and r is a real number, then we can add a fourth statement to this list: 4. r is an x intercept of the graph of P(x). SO,By using this theory u can do your problem easily.