Determine the degree of each of the following polynomials:
$-10$
$-10$ is a non-zero constant. A non-zero constant term is always regarded as having degree $0 .$
If $x^{2}+k x+6=(x+2)(x+3)$ for all $x,$ then the value of $k$ is
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 $a$.
Factorise the following quadratic polynomials by splitting the middle term
$x^{2}+2 x-143$
$x^{2}-4 x-77$
For the polynomial $p(x)=x^{2}-7 x+12$ $p(2)=\ldots \ldots . .$
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