Evaluate $(132)^{2}$ by using suitable identities
$12548$
$17659$
$17424$
$14657$
$(132)^{2}=(100+30+2)^{2}$
$=(100)^{2}+(30)^{2}+(2)^{2}+2(100)(30)$ $+2(30)(2)+2(2)(100)$
$=10000+900+4+6000+120+400$
$=17,424$
Classify the following as linear, quadratic or cubic polynomial
$35 x^{2}-16 x-12$
Give possible expressions for the length and breadth of a rectangle whose area is given as $\left(20 x^{2}+22 x+6\right)$ square units. $(x>0)$
Factorise
$8 x^{3}+125 y^{3}+343-210 x y$
By acute division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: $x^{4}+1 ; x+1$
If $x+1$ is a factor of the polynomial $2 x^{2}+k x,$ then the value of $k$ is
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