Use Synthetic Division to Find the Quotient and Remainder $$\left( 2 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 3 x \right) \div ( x + 3 )$$

question 243

Multiple Choice

Use synthetic division to find the quotient and remainder.
- $$\left( 2 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 3 x \right) \div ( x + 3 )$$

• A) \(2 x ^ { 3 } + 5 x ^ { 2 } + 3 + \frac { 9 } { x + 3 }\)
• B) \(2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 - \frac { 45 } { x + 3 }\)
• C) \(2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 + \frac { 45 } { x + 3 }\)
• D) \(2 x ^ { 3 } - 5 x ^ { 2 } + 3 - \frac { 9 } { x + 3 }\)

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Definitions:

Talus

A bone in the ankle that sits above the calcaneus (heel bone) and below the tibia (shinbone), critical for foot movement and stability.

Cuneiform Bones

A group of three bones in the foot located between the navicular bone and the first, second, and third metatarsal bones.

Hematopoiesis

The production of blood cells and platelets, which occurs in the bone marrow.

Bone Marrow

The soft, fatty tissue inside bones that produces blood cells.