Use Synthetic Division to Find the Quotient and the Remainder $\frac { 4 x ^ { 4 } + 16 x ^ { 3 } + 24 x ^ { 2 } + 16 x + 4 } { x + 1 }$

question 19

Multiple Choice

Use synthetic division to find the quotient and the remainder. $\frac { 4 x ^ { 4 } + 16 x ^ { 3 } + 24 x ^ { 2 } + 16 x + 4 } { x + 1 }$

• A) \(\text { quotient: } 4 x ^ { 3 } + 20 x ^ { 2 } + 12 x + 4 \text {; remainder: } 0\)
• B) \(\text { quotient: } 4 x ^ { 3 } + 12 x ^ { 2 } + 12 x + 4 \text {; remainder: } 0\)
• C) \(\text { quotient: } 4 x ^ { 3 } + 4 x ^ { 2 } + 12 x - 12 \text {; remainder: } 3\)
• D) \(\text { quotient: } 4 x ^ { 3 } + 12 x ^ { 2 } + 12 x + 4 \text {; remainder: } 3\)
• E) \(\text { quotient: } 4 x ^ { 3 } - 12 x ^ { 2 } + 4 x + 12 \text {; remainder: } 0\)

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Definitions:

Vulnerability

The susceptibility to physical or emotional injury or attack; it can also refer to a person's increased risk of developing a disorder or illness.

Temporal Lobes

The regions of the cerebral cortex located beneath the lateral fissure on both cerebral hemispheres of the brain, involved in processing auditory information and encoding memory.

Hallucinations

Perceptual experiences without an external stimulus, commonly associated with mental disorders or neurological conditions.