Factorise the following:
$9 x^{2}-12 x+3$
$9 x^{2}-12 x+3=9 x^{2}-9 x-3 x+3$
$=9 x(x-1)-3(x-1)$
$=(9 x-3)(x-1)$
$=3(3 x-1)(x-1)$
Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not
$\pi x^{2}-\sqrt{3} x+11$
Find the value of the polynomial $x^{2}-7 x+12$ at.
$x=\frac{1}{2}$
Give possible expression for the length of a square whose area is $\left(9 x^{2}+30 x+25\right)$ square units. $(x>0)$
Factorise
$6 x^{3}-23 x^{2}+29 x-12$
Show that $p-1$ is a factor of $p^{10}-1$ and also of $p^{11}-1$
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