Use a System of Equations to Find the Cubic Function $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$

question 27

Multiple Choice

Use a system of equations to find the cubic function $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$ that satisfies given equations. Solve the system using matrices.
$\begin{aligned}f ( 2 ) & = - 26 \\f ( - 2 ) & = 6 \\f ( 1 ) & = 0 \\f ( - 1 ) & = - 2\end{aligned}$

• A) \(a = 2 , b = - 2 , c = 1 , d = - 1\)
• B) \(a = - 26 , b = 6 , c = 0 , d = - 2\)
• C) \(a = - 3 , b = - 3 , c = 4 , d = 2\)
• D) \(a = - 26 , b = 30 , c = - 12 , d = 16\)
• E) \(a = 50,598 , b = - 54,650 c = - 730 , d = 518\)

---

Definitions:

Self-construal

Self-construal refers to how individuals perceive, comprehend, and interpret themselves, often influenced by cultural and social contexts.

Possible Selves

The component of the self-concept that involves individuals' ideas of what they might become, what they would like to become, and what they are afraid of becoming.

Identity Shifts

Changes in an individual's self-concept that occur in order to conform to the norms and expectations of a group, often after experiencing social rejection or disapproval.

Big Five Personality Traits

A framework that defines human personality by five major traits: openness, conscientiousness, extraversion, agreeableness, and neuroticism.