Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by
$x+4$
Quotient $=x^{2}-3 x+2,$ Remainder $=0$
Factorise
$49 x^{2}-42 x+9$
Factorise the following quadratic polynomials by splitting the middle term
$x^{2}-12 x+20$
$8 x^{3}+125 y^{3}+343-210 x y$
Show that :
$2 x-3$ is a factor of $x+2 x^{3}-9 x^{2}+12$
$x^{2}-4 x-77$
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