Thread: partial fractions question

"(i) decompose the following expression into partial fractions and
(ii) check your answer by multiplying them out


6x + 7/ 3x (x +1)

Originally Posted by porge111

"(i) decompose the following expression into partial fractions and
(ii) check your answer by multiplying them out


6x + 7/ 3x (x +1)

which, after algebraic manipulation, is equal to

Use subsitution to find the values of A and B (-1 and 0 would be a good start)

Originally Posted by e^(i*pi)

which, after algebraic manipulation, is equal to



Use subsitution to find the values of A and B (-1 and 0 would be a good start)

Or...you could multiply everything through, group the x terms and the constant terms:





For the two sides to be equal, the coefficients of the two polynomials must be equal. So you "equate the coefficients":

and

B is easy to find after that.

Originally Posted by e^(i*pi)

which, after algebraic manipulation, is equal to

Use subsitution to find the values of A and B (-1 and 0 would be a good start)

There's a formula way to solving as well (since the RHS denominators are linear).