First Principles AI

Accedmychevron_right11thchevron_rightmathchevron_rightPartial Fractionschevron_rightExercise 5.1

Cover-up method

If:

\frac{P(x)}{(x-a)(x-b)}=\frac{A}{x-a}+\frac{B}{x-b}

then after clearing denominators:

P(x)=A(x-b)+B(x-a)

Putting $x=a$ gives $A$ , and putting $x=b$ gives $B$ .