`(x^2 - 4x + 7)/((x + 1)(x^2 - 2x + 3))` Write the partial fraction decomposition of the rational expression. Check your result algebraically.

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Multiply through by the LCD` (x+1)(x^2-2x+3)`





Equate the coefficients of like terms. Then solve for A, B, and C.



















`A=2, B=-1, C=1`




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