A rational expression whose numerator is a quadratic polynomial with z

1.	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) \(\frac{x^2-3x+2}{x-3}\)
Answer» 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 \(=\frac{x^2-3x+2}{x-3}\) Correct option is D) \(\frac{x^2-3x+2}{x-3}\)

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) \(\frac{x^2-3x+2}{x-3}\)

Answer»

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 \(=\frac{x^2-3x+2}{x-3}\)

Correct option is D) \(\frac{x^2-3x+2}{x-3}\)