From the following polynomials find out which of them has $(x-1)$ as a factor
$x^{3}+4 x^{2}+x-6$
$(x-1)$ is a factor.
Factorise $x^{2}-7 x+12$ by using the factor theorem.
Factorise :
$2 \sqrt{2} a^{3}+8 b^{3}-27 c^{3}+18 \sqrt{2} a b c$
By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
$p(x)=x^{3}-3 x^{2}+4 x+50, g(x)=x-3$
Factorise
$x^{2}+4 y^{2}+9 z^{2}-4 x y-12 y z+6 z x$
$\ldots \ldots$ is one of the zeros of $p(x)=x^{3}+7 x^{2}+11 x+5$
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