Use Synthetic Division to Decide Whether $c$ Is a Zero of the Equation

question 3

Multiple Choice

Use synthetic division to decide whether $c$ is a zero of the equation. $f ( x ) = 7 x ^ { 4 } + 30 x ^ { 3 } - 4 x ^ { 2 } - 46 x + 9$ ; $c = - 4$

• A) c is not a zero
• B) c is a zero

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Definitions:

Newman Projection

A method of depicting the three-dimensional structure of molecules by looking down the length of one of the bonds to better understand spatial relationships.

C3-C4

This term could refer to a variety of contexts; however, it often relates to the transition between the third and fourth carbon atoms in a molecular structure, possibly indicating a bond or functional group location.

Substituents

Atoms or groups of atoms that are substituted or replaced in the molecule of an organic compound, affecting its properties and reactions.

Axial Position

A spatial location in a molecule where substituents are perpendicular to the plane of a ring, such as in cyclohexane.