Write the Function as a Product of Linear and Irreducible $$f ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 7 x + 12$$

question 369

Multiple Choice

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
- $$f ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 7 x + 12$$

• A) \(( x + 3 ) \left( 2 x ^ { 2 } + x + - 4 \right)\)
• B) \(( x + 3 ) \left( 2 x ^ { 2 } + x + 4 \right)\)
• C) \(( x - 3 ) \left( 2 x ^ { 2 } + x + 4 \right)\)
• D) \(( x - 3 ) \left( 2 x ^ { 2 } + x + - 4 \right)\)

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Definitions:

Iterative Method

An approach in computing where a sequence of operations is repeatedly applied to gradually approach a desired result.

Power of X

Power of X typically describes a mathematical operation where a number (X) is multiplied by itself a certain number of times.

Divide and Conquer

An algorithm strategy that breaks a problem into smaller parts, solves each part individually, and then combines the solutions.

Recursive Method

A method in programming that calls itself in order to solve a problem by breaking it down into smaller sub-problems.