SOLUTION: Solve via direct proof: n^5 - 64n^3 - n^2 ∈ Θ (n^5) I'm not exactly sure what to do. I factored the left side: n^2 (n^3 - 64n

SOLUTION: Solve via direct proof: n^5 - 64n^3 - n^2 ∈ Θ (n^5) I'm not exactly sure what to do. I factored the left side: n^2 (n^3 - 64n - 1) and the right: Θ (n^2)(n

Question 1075873: Solve via direct proof:
n^5 - 64n^3 - n^2 ∈ Θ (n^5)
I'm not exactly sure what to do. I factored the left side:
n^2 (n^3 - 64n - 1)
and the right:
Θ (n^2)(n^3)
to get:
n^2 (n^3 - 64n - 1) ∈ Θ (n^2)(n^3)
What do I do now?
Also, is there a paid tutor online that could help me with a few others (that are even more difficult?) ~J
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

1. Could you please to share the secret with us: what is Θ (n^5) ?

2. Do not panic.

     Simply post your problems, correctly and accurately formulated.

3. You are at the right place and in good hands.

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comment from student: Thank you. It just says "Use a direct proof to find constants that satisfy the definition of Θ (n^5)"
Not sure where to go.
---------------

My response: Honestly, I expected to get another answer.

                      This one DOES NOT make us closer to understanding.

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SOLUTION: Solve via direct proof: n^5 - 64n^3 - n^2 &#8712; &#920; (n^5) I'm not exactly sure what to do. I factored the left side: n^2 (n^3 - 64n - 1) and the right: &#920; (n^2)(n

SOLUTION: Solve via direct proof: n^5 - 64n^3 - n^2 ∈ Θ (n^5) I'm not exactly sure what to do. I factored the left side: n^2 (n^3 - 64n - 1) and the right: Θ (n^2)(n