Find the Partial Fraction Decomposition Of $\frac { x ^ { 4 } - 4 x ^ { 3 } - 13 x ^ { 2 } + 49 x - 9 } { x ^ { 3 } - 4 x ^ { 2 } - 9 x + 36 }$

question 107

Essay

Find the partial fraction decomposition of $\frac { x ^ { 4 } - 4 x ^ { 3 } - 13 x ^ { 2 } + 49 x - 9 } { x ^ { 3 } - 4 x ^ { 2 } - 9 x + 36 }$ .

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Definitions:

De Stijl

Dutch, “the style.” An early-20th-century art movement (and magazine), founded by Piet Mondrian and Theo van Doesburg, whose members promoted utopian ideals and developed a simplified geometric style.

Gerrit Thomas Rietveld

A Dutch architect and furniture designer, recognized for his contribution to the De Stijl movement and designs like the Red and Blue Chair.

Piet Mondrian

A Dutch painter famous for his contribution to the De Stijl art movement, known for his abstract works characterized by horizontal and vertical lines and primary colors.

Stainless-steel Sculpture

Artwork made primarily or entirely of stainless steel, valued for its durability, resistance to corrosion, and modern aesthetic.