If both $x-2$ and $x-\frac{1}{2}$ are factors of $p x^{2}+5 x+r,$ show that $p=r$
If $p(x)=x^{2}-2 \sqrt{2} x+1,$ then $p(2 \sqrt{2})$ is equal to
Write the degree of the following polynomials
$5$
Classify the following as a constant, linear,quadratic and cubic polynomials:
$\sqrt{2} x-1$
Factorise the following quadratic polynomials by splitting the middle term
$12 x^{2}+23 x+5$