Evaluate the following products without multiplying directly
$78 \times 84$
$7546$
$6552$
$4736$
$4865$
Expand
$(3 x-2)(3 x-6)$
Write whether the statement are True or False. Justify your answer.
A polynomial cannot have more than one zero.
Classify the following as linear, quadratic or cubic polynomial
$4 x^{2}-49$
On dividing $p(x)=x^{3}+2 x^{2}-5 a x-7$ by $(x+1),$ the remainder is $R _{1}$ and on dividing $q(x)=x^{3}+a x^{2}-12 x+6$ by $(x-2), \quad$ the remainder is $R _{2} .$ If $2 R _{1}+ R _{2}=6,$ then find the value of $a$.
Evaluate
$205 \times 195$