Divide $p(x)=x^{3}+7 x^{2}+14 x+1$ by $x+3$ and find the quotient and the remainder.
Thus, quotient $=x^{2}+4 x+2$ and remainder $=-5$
Find the following product :
$(2 x-y+3 z)\left(4 x^{2}+y^{2}+9 z^{2}+2 x y+3 y z-6 x z\right)$
Write the following cubes in expanded form
$(3 x+2 y)^{3}$
Write the degree of each of the following polynomials
$x^{3}-3\left(x^{2}\right)^{4}-15$
Write the degree of the following polynomials
$7 x^{3}-9 x^{2}+4 x-22$
Find the following products:
$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)$
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