Find the value of the polynomial $5x -4x^2+ 3$ at $x = 2$.
$3$
$2$
$-3$
$-2$
$p(x)=5 x-4 x^{2}+3$
$p(2)=5(2)-4(2)^{2}+3$
$=10-16+3=-3$
Factorise $6x^2 + 17x + 5$ by splitting the middle term, and by using the Factor Theorem.
Factorise of the following : $64 a^{3}-27 b^{3}-144 a^{2} b+108 a b^{2}$
Check whether the polynomial $q(t)=4 t^{3}+4 t^{2}-t-1$ is a multiple of $2 t+1$.
Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=x^{3}+3 x^{2}+3 x+1$, $g(x)=x+2$.
Find the remainder obtained on dividing $p(x)=x^3+1$ by $x+1$.
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