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 $12 x^{3}-31 x^{2}-18 x+9$
$(x-3)(3 x-1)(4 x+3)$
The value of the polynomial $5 x-4 x^{2}+3,$ when $x=-1$ is
For what value of $m$ is $x^{3}-2 m x^{2}+16$ divisible by $x+2 ?$
For the polynomial $p(x),$ if $p(7)=0,$ then ………. is a factor of $p(x)$.
Expand
$(x+4)(x+9)$
Check whether $p(x)$ is a multiple of $g(x)$ or not :
$p(x)=2 x^{3}-11 x^{2}-4 x+5, \quad g(x)=2 x+1$
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