If $p(3)=0$ for polynomial $p(x),$ state one factor of $p(x)$
Factorise
$49 x^{2}-35 x+6$
By using the factor theorem, show that $(x-3)$ is a factor of the polynomial $12 x^{3}-31 x^{2}-18 x+9$ and then factorise $12 x^{3}-31 x^{2}-18 x+9$
What should be subtracted from $p(x)=x^{2}+9 x+20,$ so that the resulting polynomial is divisible by $x+2 ?$
Factorise
$x^{3}+2 x^{2}-13 x+10$