How do you express x2x2+x+2 in partial fractions?

1 Answer
Feb 15, 2016

Partial fractions of x2x2+x+2 are 1x+2x2+x+2

Explanation:

As the denominator x2+x+2 is quadratic and its determinant b±b24ac2a is not rational (as b24ac=7 is not rational), its partial fractions will be of type Ax+Bx2+x+2.

But, degree of numerator is 2 hence let us write x2x2+x+2 as

x2x2+x+2=1x+2x2+x+2

Hence partial fractions of x2x2+x+2 are 1x+2x2+x+2