Question

Identify polynomials in the following:

(i) f(x) = 4x³ − x² − 3x + 7

(ii) g(x) = 2x³ − 3x² + $\sqrt{x}$ − 1

(iii) p(x) = $\frac{2}{3}{x}^2-\frac{7}{4}x+9$

(iv) q(x) = 2x² − 3x + $\frac{4}{x}$+ 2

(v) h(x) = $x^4-x^{\frac{3}{2}}+x-1$

(vi) f(x) = $2+\frac{3}{x}+4x$

Answer 1

(i)

It is cubic in x, so, it is cubic polynomial in x variable.

(ii)

Here, exponent of x in is not a positive integer, so, it is not a polynomial.

(iii)

It is a quadratic polynomial.

(iv) q(x) = 2x² − 3x + $\frac{4}{x}$+ 2

Here, exponent of x in is not a positive integer. So it is not a polynomial.

(v)

Here, exponent of x in x^3/2 is not a positive integer. So, it is not a polynomial.

(vi)

Here, exponent of x in is not a positive integer, so, it not a polynomial.