Does the polynomial p(x) = x^4 - 20x - 23 have (x - 3) as a factor?
A. Yes
B. No
To check if (x - 3) is a factor of p(x), we can try substituting x = 3 into p(x) and see if the result is equal to 0.
p(x) = x^4 - 20x - 23
p(3) = 3^4 - 20(3) - 23
= 81 - 60 - 23
= 1
Since p(3) is not equal to 0, (x - 3) is not a factor of p(x).
Therefore, the correct answer is:
B. No