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

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

Guest Jul 8, 2015

Best Answer

+26396

+10

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

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

heureka Jul 8, 2015

2⁺¹ Answers

+14538

+5

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

.

radix Jul 8, 2015

+26396

+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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