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 $5 .$
Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by
$x-2$
If the polynomials $a z^{3}+4 z^{2}+3 z-4$ and $z^{3}-4 z+a$ leave the same remainder when divided by $z-3,$ find the value of $a$.
Verify whether the following are True or False:
$-3$ is a zero of $y^{2}+y-6.$
Classify the following as linear, quadratic or cubic polynomial
$x^{3}+2 x^{2}+3 x+2$
Evaluate
$(65)^{2}$
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