Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $x^{10}+y^{3}+t^{50}$
$x^{10}+y^{3}+t^{50}$
$\because$ Exponent of every variable is a whole number,
$x^{10}+y^{3}+t^{50}$ is a polynomial in $x$, $y$ and $t,$ ise. in three variables.
Factorise $x^{3}-23 x^{2}+142 x-120$
Evaluate the following products without multiplying directly : $95 \times 96$
Factorise of the following : $27-125 a^{3}-135 a+225 a^{2}$
Factorise : $49 a^{2}+70 a b+25 b^{2}$
Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=k x^{2}-3 x+k$