How do you simplify #\frac { 2x ^ { 3} + 3x ^ { 2} + 5x + 7} { ( x + 1) ^ { 5} }#?

1 Answer
MattyMatty
Jan 6, 2018

#"This rational function cannot be simplified."#

Explanation:

#"We check if (x+1) is a factor of the numerator polynomial."#
#"If this would be the case, then -1 would be a root."#
#"So we fill in -1 : 2 (-1)³ + 3 (-1)² + 5 (-1) + 7 = 3."#
#"We do not get zero so -1 is not a zero or root."#
#"Therefore we can conclude that there is no common factor"#
#"between the numerator and denominator polynomials."#

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