Use Long Division to Divide $\left( x ^ { 4 } + 4 x ^ { 2 } + 6 \right) \div \left( x ^ { 2 } + x + 4 \right)$

question 15

Multiple Choice

Use long division to divide.​ $\left( x ^ { 4 } + 4 x ^ { 2 } + 6 \right) \div \left( x ^ { 2 } + x + 4 \right)$

• A) \(x ^ { 2 } - x + 1\)
• B) \(x ^ { 2 } + x - 1\)
• C) \(x ^ { 2 } - x + 1 + \frac { 3 x + 2 } { x ^ { 2 } + x + 4 }\)
• D) \(x ^ { 2 } + x - 1 + \frac { 3 x - 4 } { x ^ { 2 } + x + 4 }\)
• E) \(x ^ { 2 } - x + 1 + \frac { 4 } { x ^ { 2 } - x + 1 }\)

---

Definitions:

Countersink

A conical-shaped recess around a hole often used to allow the flat head of a screw or bolt to sit flush with or below the surface of the material.

Plug Weld

A weld made in a circular hole in one member of a joint fusing it to the surface of another member.

Weld Symbol

A standardized symbol on technical drawings specifying the type, location, and details of welds required for joining pieces of metal.