If 3x + 4 x^2 - 3x + 2 = A x - 2 - B x - 1 ,then (A, ,B) = - Vidyadip

MCQ

If ${{3x + 4} \over {{x^2} - 3x + 2}} = {A \over {x - 2}} - {B \over {x - 1}}$,then $(A,\,B) = $

A
$(7, 10)$
✓
$(10, 7)$
C
$(10, -7)$
D
$(-10, 7)$

✓

Answer

Correct option: B.

$(10, 7)$

b
(b) $3x + 4 = A(x - 1) - B(x - 2)$

$ \Rightarrow $ $3=A-B,$ $4 = - A + 2B$

$ \Rightarrow $ $A = 10,\,\,\,B = 7$

$\therefore (A,\,B) = (10,\,7)$.

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