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Home » A function \( f(x) = x^3 - 3x^2 + 2x \) has roots. Find them. - DNSFLEX

A function \( f(x) = x^3 - 3x^2 + 2x \) has roots. Find them. - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Check $ 28^2 = 784 < 1000 $, and $ 35^2 = 1225 > 1000 $.

📌 The largest possible value is \boxed{28}.

📌 Question: Find the least common multiple of 18 and 24, representing the cycles of two recurring scientific hypotheses.

📌 Solution: Prime factorize both numbers:

📌 = 2 \times 3^2, \quad 24 = 2^3 \times 3

📌 The LCM takes the highest powers of all primes:

📌 \text{LCM} = 2^3 \times 3^2 = 8 \times 9 = 72

📌 The least common multiple is \boxed{72}.

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3(y^3 - 6y^2 + 12y - 8) - 4(y^2 - 4y + 4) + 5y - 10 - 2 = 3y^3 - 18y^2...
Thus, $ g(x^2 - 2) = 3(x^2 - 2)^3 - 22(x^2 - 2)^2 + 57(x^2 - 2) - 52 $...
3(x^6 - 6x^4 + 12x^2 - 8) - 22(x^4 - 4x^2 + 4) + 57x^2 - 114 - 52 = 3x...
The final answer is $ \boxed{3x^6 - 40x^4 + 181x^2 - 278} $.
Question: A climatologist models temperature anomalies with a cubic po...
Solution: Assume $ g(x) = ax^3 + bx^2 + cx + d $. Using the given valu...
a + b + c + d = -3 \\
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