Write the Polynomial in Completely Factored Form $x ^ { 2 } + 1$

question 116

Multiple Choice

Write the polynomial in completely factored form. (Hint: One factor is $x ^ { 2 } + 1$ .) $f ( x ) = x ^ { 4 } + 6 x ^ { 3 } + 14 x ^ { 2 } + 6 x + 13$

• A) \(f ( x ) = ( x - 2 ) ( x + 2 ) ( x + 3 - i ) ( x + 3 + i )\)
• B) \(f ( x ) = ( x - 3 ) ( x + 3 ) ( x - 1 - 2 i ) ( x - 1 + 2 i )\)
• C) \(f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 3 - 2 i ) ( x + 3 + 2 i )\)
• D) \(f ( x ) = ( x - 3 i ) ( x + 3 i ) ( x - 1 - 2 i ) ( x - 1 + 2 i )\)
• E) \(f ( x ) = ( x - i ) ( x + i ) ( x + 3 - 2 i ) ( x + 3 + 2 i )\)

---

Definitions:

Retina

A layer of cells located at the back of the eye, responsible for converting light into neural signals that can be processed by the brain to produce visual images.

Cones

Photoreceptor cells in the retina of the eye responsible for color vision and functioning best in relatively bright light.

Rods

Visual sensory receptors found at the back of the retina, responsible for noncolor sensitivity to low levels of light.

Fovea

A small depression in the retina of the eye where visual acuity is highest.