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Home » oxed{rac16\pi3 - 6\sqrt3} - Baxtercollege

oxed{rac16\pi3 - 6\sqrt3} - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 We are asked to find the remainder when

📌 f(t) = t^3 + 2t^2 - 5t + 6

📌 is divided by $ t - 1 $.

📌 By the **Remainder Theorem**, the remainder is simply $ f(1) $.

📌 f(1) = 1^3 + 2(1)^2 - 5(1) + 6 = 1 + 2 - 5 + 6 = 4.

📌 So the remainder is:

📌 f(x + 1) - f(x) = 6x + 4.

📌 Find $ f(x) $.

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So the only way is to find smallest m such that 45m is divisible by 18...
45m ÷ 18 = (45/18)m = 2.5m → so m must be even for 2.5m integer.
Let m = 2k → angle = 45×2k = 90k → multiple of 90 → invalid.
So no solution? But that can't be.
Alternative interpretation: "not a multiple of 90" means that the angl...
But 135 is divisible by 45 — candidates: 45, 135, 225, 315, 405, 495,...
Which of these are divisible by 18?
/ 18 = 2.5 → no
/ 18 = 7.5 → no
/ 18 = 12.5 → no

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