Find the value of the polynomial $5x -4x^2+ 3$ at $x = -\,1$.
$6$
$-6$
$5$
$4$
$p(x)=5 x-4 x^{2}+3$
$p(-1)=5(-1)-4(-1)^{2}+3$
$=-5-4(1)+3=-6$
Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=2 x^{3}+x^{2}-2 x-1$, $g(x)=x+1$.
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=lx+m,\,\, x=-\,\frac{m}{l}$
Evaluate the following using suitable identities : $(998)^{3}$
Evaluate using suitable identities : $(999)^{3}$
Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given : $\boxed{\rm {Area}\,:25{a^2} – 35a + 12}$
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