Using the Factors (5x + 4) and (X - 1) $f ( x ) = - 20 x ^ { 4 } + 109 x ^ { 3 } - 30 x ^ { 2 } - 79 x + 20$

question 215

Multiple Choice

Using the factors (5x + 4) and (x - 1) , find the remaining factor(s) of $f ( x ) = - 20 x ^ { 4 } + 109 x ^ { 3 } - 30 x ^ { 2 } - 79 x + 20$ and write the polynomial in fully factored form.

• A) \(f ( x ) = ( 5 x + 4 ) ( - x + 5 ) ( 4 x - 1 ) ( x - 1 )\)
• B) \(f ( x ) = ( 5 x + 4 ) ^ { 2 } ( 4 x - 1 ) ( x + 1 )\)
• C) \(f ( x ) = ( 5 x + 4 ) ( 5 x + 4 ) ( 4 x - 1 ) ( x - 1 )\)
• D) \(f ( x ) = ( 5 x + 4 ) ^ { 2 } ( x - 1 ) ^ { 2 }\)
• E) \(f ( x ) = ( 5 x + 4 ) ( - x - 5 ) ^ { 2 } ( x + 1 )\)

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Definitions:

Own Importance

The perceived value or significance an individual attributes to themselves or their role in a context.

Avoidant

Pertaining to a personality trait or behavior where an individual tends to evade dealing with emotional issues or avoid close interpersonal relationships.

Anorexia Nervosa

An eating disorder characterized by an intense fear of gaining weight and a distorted body image, leading to self-starvation and excessive weight loss.

Body Dissatisfaction

A negative perception of one's own body image, often resulting in distress and a desire to change one's appearance.