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Home » what is the degree of a polynomial - Coaching Toolbox

what is the degree of a polynomial - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Total sum of all divisors of 60 is:

📌 Sum of **odd** divisors (where \( a = 0 \)):

📌 Then sum of even divisors is total minus odd:

📌 - 24 = 144

📌 Thus, the sum of all even divisors of 60 is:

📌 \boxed{144}

📌 What is the remainder when the sum \( 1^3 + 2^3 + 3^3 + \dots + 10^3 \) is divided by 11?

📌 We use the formula for the sum of cubes:

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We want to maximize x, so minimize y. Try x = 20:
So maximum x such that energy and budget are met is not feasible? Wait...
Try x = 10, y = 20: energy = 2000 + 4500 = 6500 < 16,200 — too low.
Try x = 20, y = 10: energy = 4500 + 3200 = 7700, cost = 62,000 + 31,00...
Try x = 15, y = 15: energy = 6750 + 6750 = 13,500 < 16,200.
x = 25, y = 5: energy = 11,250 + 2,250 = 13,500 < 16,200.
x = 30, y = 5: energy = 13,500 + 2,250 = 15,750 < 16,200.
Try x = 15, y = 20: energy = 4500 + 6000 = 10,500 < 16,200.
It appears no combination satisfies both. But lets solve system:
So use as much B as possible within budget.

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