Solve by Factoring

question 54

Multiple Choice

Solve by factoring.

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Definitions:

Modus Tollens (MT)

A logical argument form where the denial of the consequent leads to the denial of the antecedent, often structured as "If P, then Q. Not Q, therefore not P."

Disjunctive Syllogism (DS)

A form of logical argument where, from two disjunct statements, the denial of one leads to the affirmation of the other.

Constructive Dilemma (CD)

A form of argument where, given premises that jointly imply two conclusions, if one of them is true, then so is the other.

Atomic Sentences

Simple statements in logic that contain no logical connectives or quantifiers, expressing a basic claim.