Divide Using Synthetic Division, and Write a Summary Statement in Fraction

question 471

Multiple Choice

Divide using synthetic division, and write a summary statement in fraction form.
- $\frac { - 5 x ^ { 4 } + x ^ { 3 } + 2 x ^ { 2 } + 3 x - 1 } { x - 1 }$

• A) \(- 5 x ^ { 3 } + 4 x ^ { 2 } - 2 x - 1\)
• B) \(- 5 x ^ { 3 } + 4 x ^ { 2 } + 6 x + 9\)
• C) \(- 5 x ^ { 3 } - 4 x ^ { 2 } - 2 x + 1\)
• D) \(- 5 x ^ { 3 } + 6 x ^ { 2 } - 4 x - 1\)

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Definitions:

Tibialis Anterior

A muscle in the lower leg that is involved in dorsiflexion and inversion of the foot.

Biceps Femoris

A muscle of the posterior thigh involved in knee flexion and hip extension, part of the hamstrings group.

Extensor Digitorum Longus

The extensor digitorum longus is a muscle in the lower leg that helps extend the toes and dorsiflex the foot, facilitating walking and running.

Sartorius

The longest muscle in the human body, extending from the hip to the knee, involved in flexing, abducting, and rotating the thigh.