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Home » Is Jim Lee the Most Underrated Genius in Comic Book History? Here’s Why You Need to Know! - Dyverse

Is Jim Lee the Most Underrated Genius in Comic Book History? Here’s Why You Need to Know! - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Thus, the sum of the roots is \(\boxed{0}\).

📌 Question:** A mathematician working on algebraic topology defines a function \( f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1 \). Determine the remainder when \( f(x) \) is divided by \( x - 1 \).

📌 Solution:** To find the remainder when \( f(x) \) is divided by \( x - 1 \), we use the Remainder Theorem, which states that the remainder of the division of a polynomial \( f(x) \) by \( x - c \) is \( f(c) \). Here, \( c = 1 \), so we calculate \( f(1) \):

📌 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

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