What is the correct form of the partial fraction decomposition for the fraction with numerator 6 x plus 7 and denominator open paren x plus 2 close paren squared ?

The denominator is the repeated linear factor (x + 2)². For a repeated linear factor, include one fraction for each power of that factor: A/(x + 2) + B/(x + 2)². This matches choice A; a linear numerator over (x + 2)² is not needed because that factor is linear.

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