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Home / Aptitude Tests / Mathematics / If \(\frac{2}{x - 3}...
If 2x33x2 is equal to \(\frac...

If 2x33x2 is equal to p(x3)(x2), find p

A.

-x - 5

B.

-(x + 3)

C.

5x - 13

D.

5 - x

Correct answer is D

2x33x2 = p(x3)(x2)

2(x2)3(x3)(x3)(x2) = p(x3)(x2)

= 2x43x+9(x3)(x2) = p(x3)(x2)

x+5(x3)(x2)=p(x3)(x2)

p(x - 3)(x - 2) = -x + 5(x - 3)(x - 2)

p = -x + 5 or p = 5 - x