Question 1051853
<pre><b>
{{{"q(x)"}}}{{{""=""}}}{{{2x^6 - 14x^4 }}}

To find zeroes set it equal to zero,

{{{2x^6 - 14x^4 }}}{{{""=""}}}{{{0}}}

Divide through by 2

{{{x^6 - 7x^4 }}}{{{""=""}}}{{{0}}}

Factor out x<sup>4</sup>:

{{{x^4(x^2 - 7) }}}{{{""=""}}}{{{0}}}

{{{x^4=0}}}, {{{x^2-7=0}}}

{{{x=0}}},  {{{x^2=7}}}
         {{{x = "" +- sqrt(7)}}}

The zero 0 has a multiplicity of 4, because it's x<sup>4</sup>.
The zero {{{sqrt(7)}}} has multiplicity 1.
The zero {{{-sqrt(7)}}} has multiplicity 1.

Edwin</pre></b>