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what are factors of 2x^4-50x^2?

 Jul 8, 2015

Best Answer 

 #2
avatar+26367 
+10

what are factors of 2x^4-50x^2?

$$\begin{array}{rcl}
\small{
2\cdot x^4-50\cdot x^2 \\
&=& 2\cdot x^2\cdot (x^2-25)\\
&=& 2\cdot x^2\cdot (x^2-5^2) \\
&=& 2 \cdot x^2 \cdot (x-5)(x+5)\\
&=& 2 \cdot x\cdot x \cdot (x-5)(x+5)\\
2\cdot x^4-50\cdot x^2 &=& 2 \cdot (x-0)(x+0)(x-5)(x+5)\\
}
\end{array}$$

 

 Jul 8, 2015
 #1
avatar+14538 
+5

$${\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{4}}}{\mathtt{\,-\,}}{\mathtt{50}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}} = {\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}\left({{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{25}}\right)$$

.
 Jul 8, 2015
 #2
avatar+26367 
+10
Best Answer

what are factors of 2x^4-50x^2?

$$\begin{array}{rcl}
\small{
2\cdot x^4-50\cdot x^2 \\
&=& 2\cdot x^2\cdot (x^2-25)\\
&=& 2\cdot x^2\cdot (x^2-5^2) \\
&=& 2 \cdot x^2 \cdot (x-5)(x+5)\\
&=& 2 \cdot x\cdot x \cdot (x-5)(x+5)\\
2\cdot x^4-50\cdot x^2 &=& 2 \cdot (x-0)(x+0)(x-5)(x+5)\\
}
\end{array}$$

 

heureka Jul 8, 2015

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