Factor Completely $x ^ { 4 } - 24 x ^ { 2 } - 25$

question 211

Multiple Choice

Factor completely: $x ^ { 4 } - 24 x ^ { 2 } - 25$

• A) \(\left( x ^ { 2 } + 25 \right) ( x - 1 ) ( x + 1 )\)
• B) \(( x - 5 ) ( x + 5 ) \left( x ^ { 2 } + 1 \right)\)
• C) \(( x - 5 ) ( x + 5 ) ( x - 1 ) ( x + 1 )\)
• D) \(( x - 5 ) ( x + 5 ) ( x + 1 ) ^ { 2 }\)

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Definitions:

Atomic Nucleus

The central part of an atom, composed of protons and neutrons, which contains the majority of the atom's mass.

Beta Decay

A radioactive decay process in which an unstable atomic nucleus transforms by emitting a beta particle (electron or positron).

Two-Atomic-Mass Unit

A unit of mass equal to one-twelfth the mass of a carbon-12 atom, used to express atomic and molecular weights.

Beta Particle

A high-energy, high-speed electron or positron emitted by the radioactive decay of an atomic nucleus.