The following expressions are polynomials? Justify your answer:
$1-\sqrt{5 x}$
The following expressions are polynomials? Justify your answer:
$1-\sqrt{5 x}$
$1-\sqrt{5} x=1-\sqrt{5} x^{\frac{1}{2}}$
Here, the exponent of the second term, i.e., $x^{\frac{1}{2}}, \frac{1}{2},$ which is not a whole number.
Hence, the given algebraic expression is not a polynomial.
Similar Questions
On dividing $x^{3}+a x^{2}+19 x+20$ by $(x+3),$ if the remainder is $a,$ then find the value of $a$.
On dividing $x^{3}+a x^{2}+19 x+20$ by $(x+3),$ if the remainder is $a,$ then find the value of $a$.
Factorise each of the following
$27 x^{3}-64-108 x^{2}+144 x$
Factorise each of the following
$27 x^{3}-64-108 x^{2}+144 x$
Verify whether the following are True or False:
$-3$ is a zero of $x-3$
Verify whether the following are True or False:
$-3$ is a zero of $x-3$
Expand
$(2 x+3 y+5)^{2}$
Expand
$(2 x+3 y+5)^{2}$
Factorise each of the following
$8 x^{3}+343 y^{3}+84 x^{2} y+294 x y^{2}$
Factorise each of the following
$8 x^{3}+343 y^{3}+84 x^{2} y+294 x y^{2}$