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Resolve 3x2+x2 into partial fractions...

Resolve 3x2+x2 into partial fractions

A.

1x11x+2

B.

1x+1+1x2

C.

1x+11x2

D.

1x2+1x+2

Correct answer is A

3x2+x2 = 3(x1)(x+2)

Ax1 + Bx+2

A(x + 2) + B(x - 1) = 3

when x = 1, 3A = 3 a = 1

when x = -2, -3B = 3 B = -1

= 1x11x+2