# Answer to Question #7655 in Discrete Mathematics for Eric Watson

Question #7655

Determine the value of n and M to show that (x2 + 8)(x + 1) is big-O(xn). (Find the value of the exponent and also the value of M that proves the big-O relationship. You don’t need to worry about the value of k.)

Expert's answer

(x^2+8)*(x+1) has x^3 as the member with bigest degree. So, this polynom is

O(x^3), so, n=3

Value of M is 1, besuse factor near x^3 is 1.

O(x^3), so, n=3

Value of M is 1, besuse factor near x^3 is 1.

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