MAT136H1 Lecture Notes - Partial Fraction Decomposition
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MAT136H1 Full Course Notes
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Question #1 (easy): decompose rational function into partial fractions. Rational function with factorable denominator can be decomposed into partial fractions. Combining partial fractions reverses the process and result in the original rational function. Step 2: write partial fractions with unknown coefficients at numerator. The denominator can be factored: ( ) ( )( ). This means the given function can be decomposed into 3 partial fractions: Combine the numerators: ( )( ) ( ) ( ) . Combine the like powers: ( ) ( ) . It is like solving a system of linear equations. Use substitution , then ( ) , then.