Determine the degree of each of the following polynomials:
$x^{3}-9 x+3 x^{5}$
Since the highest power of $x$ is $5 ,$ the degree of the polynomial $x^{3}-9 x+3 x^{5}$ is $5 .$
Factorise
$169 x^{2}-625$
$9 x^{2}-21 x y+10 y^{2}$
The following expressions are polynomials? Justify your answer:
$\frac{1}{x+1}$
If $x+1$ is a factor of the polynomial $2 x^{2}+k x,$ then the value of $k$ is
$49 x^{2}-42 x+9$
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