Find the X- and Y-Intercepts $$f ( x ) = 6 x ^ { 2 } + 12 x + 1$$

question 88

Multiple Choice

Find the x- and y-intercepts. If no x-intercepts exist, state so.
- $$f ( x ) = 6 x ^ { 2 } + 12 x + 1$$

• A) \(\left( \frac { - 12 \pm \sqrt { 30 } } { 6 } , 0 \right) , ( 0,1 )\)
• B) \(\left( \frac { - 6 \pm \sqrt { 42 } } { 6 } , 0 \right) , ( 0 , - 1 )\)
• C) \(\left( \frac { - 6 \pm \sqrt { 30 } } { 12 } , 0 \right) , ( 0 , - 1 )\)
• D) \(\left\{ \frac { - 6 \pm \sqrt { 30 } } { 6 } , 0 , ( 0,1 ) \right.\)

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Definitions:

Colonial

Colonial refers to organisms that live in colonies, where individuals of the same species live together in close proximity for mutual benefit, often leading to specialized functions within the colony.

Multicellular

Comprising more than one cell, often with cells differentiated to perform specific functions.

Single-cell

Referring to organisms that consist of only one cell, such as bacteria and many types of algae.

Carrageenan

A family of linear sulfated polysaccharides that are extracted from red edible seaweeds and used in the food industry as gelling agents.