Which of the following expressions is a polynomial ?A) 3x2 - 2√5x +

1.	Which of the following expressions is a polynomial ?A) 3x2 - 2√5x + 7B) \(\frac{x^3-2x+1}{2x+5}\)C) \(\frac{x^2-5x+6}{x-3}\)D) \(\frac{x^2-2x+1}{2x+7}\)
Answer» Correct option is (C) \(\frac{x^2-5x+6}{x-3}\) (A) \(3x^2-2\sqrt{5x}+7\) is not a polynomial because it consists term \(\sqrt x.\) (B) \(\frac{x^3-2x+1}{2x+5}\) \(=\frac{(x-1)(x^2+x-1)}{2x+5}\) which is a rational expression not a polynomial. (C) \(\frac{x^2-5x+6}{x-3}\) \(=\frac{(x-3)(x-2)}{x-3}\) = x - 2 which is a polynomial of degree 1. (D) \(\frac{x^2-2x+1}{2x+7}\) \(=\frac{(x-1)^2}{2x+7}\) which is a rational expression not a polynomial. Correct option is C) \(\frac{x^2-5x+6}{x-3}\)

Which of the following expressions is a polynomial ?A) 3x2 - 2√5x + 7B) \(\frac{x^3-2x+1}{2x+5}\)C) \(\frac{x^2-5x+6}{x-3}\)D) \(\frac{x^2-2x+1}{2x+7}\)

Answer»

Correct option is (C) \(\frac{x^2-5x+6}{x-3}\)

(A) \(3x^2-2\sqrt{5x}+7\) is not a polynomial because it consists term \(\sqrt x.\)

(B) \(\frac{x^3-2x+1}{2x+5}\) \(=\frac{(x-1)(x^2+x-1)}{2x+5}\) which is a rational expression not a polynomial.

(D) \(\frac{x^2-2x+1}{2x+7}\) \(=\frac{(x-1)^2}{2x+7}\) which is a rational expression not a polynomial.

Correct option is C) \(\frac{x^2-5x+6}{x-3}\)