Factor F(x) into Linear Factors Given That K Is a Zero

question 442

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $f ( x ) = x ^ { 4 } + 16 x ^ { 3 } + 62 x ^ { 2 } - 32 x - 128 ; k = - 8$ (multiplicity 2 $)$

• A) \(f ( x ) = ( x + 8 ) ^ { 2 } ( x - 2 ) ( x + 2 )\)
• B) \(f ( x ) = ( x - 8 ) ( x + 8 ) ( x - \sqrt { 2 } ) ( x + \sqrt { 2 } )\)
• C) \(f ( x ) = ( x - 8 ) ^ { 2 } ( x - \sqrt { 2 } ) ( x + \sqrt { 2 } )\)
• D) \(f ( x ) = ( x + 8 ) ^ { 2 } ( x - \sqrt { 2 } ) ( x + \sqrt { 2 } )\)

---

Definitions:

Steak

A cut of meat, typically beef, that is sliced perpendicular to the muscle fibers, often grilled or pan-fried.

Rhode Island

The smallest U.S. state by area, located in the New England region.

Inferior Good

A type of good for which demand decreases as the income of consumers increases, opposite of normal goods.

Income Increases

Situations where individuals or households experience a rise in earnings, affecting their purchasing power and consumption choices.