Ask Question
29 March, 20:28

Joshua wants to know if x-5 is a factor of the polynomial P (x) = x^3-5x^2-x+5

+3
Answers (1)
  1. 29 March, 20:55
    0
    See below.

    Step-by-step explanation:

    By the Factor Theorem, if (x - a) is a factor of P (x) then P (a) = 0.

    So if x - 5 is a factor then P (5) = 0:

    P (5) = 5^3 - 5 (5) ^2 - 5 + 5

    = 125 - 125 - 5 + 5

    = 0.

    Thus, x - 5 IS a factor.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Joshua wants to know if x-5 is a factor of the polynomial P (x) = x^3-5x^2-x+5 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers