Question

Identify which of the following expressions are polynomials :
1. $\frac{67}{3}{x}^2-\frac{113}{4}x-\frac{7}{2}$
2. $\sqrt{169x^2}-19$
3. $\frac{44}{3}{a}^{2}b-\frac{3}{44}a{b}^2$
4. $\frac{31x}{y}-11x+\frac{24}{x}$
5. $\sqrt{120p^3}-16p^2+1$
6. $\sqrt{87}{x}^3-4x^2-3x+8$

Answer 1

$1)$The first is a quadratic polynomial having degree $2$

$2)$The second is a linear polynomial because $\sqrt{169x^2}-19=13x-19$

$3)$The third is a polynomial.

$4)$The fourth is not a polynomial because the power of variable $x$ and $y$ are negative.

$5)$The fifth is a not a polynomial because $\sqrt{120p^3}$ has its power as a fraction

$6)$The sixth is a polynomial because the power of the variable $x$ is positive.