Question

Which of the following expressions are polynomials:
(i) $7x^2-5x+2$
(ii) $4x^2-3x+2$
(iii) $9x^{\frac{2}{3}}-3x+4$
(iv) $u^{\frac{-1}{2}}+3u+2$
(v) $\frac{5}{3}{x}^3+7x+16$
(vi) $\frac{4}{3}{x}^7-3x^5+2x^3+1$

Answer 1

As a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Therefore options 1,25,6 satisfy above definition & hence are polynomial.

(i) Polynomial
(ii) Polynomial
(iii) Not a polynomial
(iv) Not a polynomial
(v) Polynomial
(vi) Polynomial