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Home » Buneary Evolution: The Shocking Transformation of Fur Art That Will Blow Your Mind! - Upplift

Buneary Evolution: The Shocking Transformation of Fur Art That Will Blow Your Mind! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 f(1) = 1^4 - 4 \cdot 1^3 + 6 \cdot 1^2 - 4 \cdot 1 + 1 = 1 - 4 + 6 - 4 + 1 = 0

📌 The remainder is \(\boxed{0}\).

📌 Question:** A science educator is designing a lesson on quadratic equations and presents the equation \( x^2 - 5x + 6 = 0 \). They ask students to compute the product of the roots.

📌 Solution:** For the quadratic equation \( x^2 - 5x + 6 = 0 \), Vieta's formulas tell us that the product of the roots is given by \( \frac{d}{a} \), where \( a \) is the coefficient of \( x^2 \) and \( d \) is the constant term. Here, \( a = 1 \) and \( d = 6 \), so the product of the roots is:

📌 \frac{d}{a} = \frac{6}{1} = 6

📌 The product of the roots is \(\boxed{6}\).

📌 Question:** A palynologist is modeling a real-world phenomenon with the cubic polynomial \( g(x) = 2x^3 - 3x^2 + 5x - 7 \). Find \( g(2) \).

📌 Solution:** To evaluate \( g(2) \) for the polynomial \( g(x) = 2x^3 - 3x^2 + 5x - 7 \), substitute \( x = 2 \) into the polynomial:

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