A rational expression whose numerator is a quadratic polynomial with zeroes, 1 and 2
A rational expression whose numerator is a quadratic polynomial with zeroes, 1 and 2 and whose denominator is monomial with zero 3 is ...................
A) \(\frac{x^2+x-2}{x+3}\)
B) \(\frac{x^2-x-2}{x+3}\)
C) \(\frac{x^2+x-2}{x-3}\)
D) \(\frac{x^2-3x+2}{x-3}\)
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Correct option is (D) \(\frac{x^2-3x+2}{x-3}\)
Quadratic polynomial whose zeros are 1 and 2 is
(x - 1) (x - 2) \(=x^2-3x+2\)
Monomial with zero 3 is (x-3).
\(\therefore\) Required rational expression \(=\frac{x^2-3x+2}{x-3}\)
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