Factorise the following quadratic polynomials by splitting the middle term
$6 x^{2}+7 x-20$
$(2 x+5)(3 x-4)$
Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $\frac{\pi}{6} x+x^{2}-1$
$(ii)$ $3 x-5$
Expand
$(2 x-y-5)^{2}$
Without actual division, prove that $2 x^{4}-5 x^{3}+2 x^{2}-x+2$ is divisible by $x^{2}-3 x+2$
Write the degree of each of the following polynomials
$x^{50}-1$
$5 x^{2}+12 x+4$
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