Thursday, 3 November 2016

algebra precalculus - Prove no real roots exist for factored cubic function

$6x^3-18x^2-6x-6$ can be expressed as $6(x-3.383)(x^2+ax+b)$ where $a,b \in \Bbb{R}$, how would you prove that $(x^2+ax+b)$ has no real roots?

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...