Question 1198584


Solve the following polynomial equation  x^5-13x^3+36x=0

One of the following is the correct answer. Which one?

A) x=0, x=+or-2, x=+or-3

B) x=1, x=2, x=18

C) x=+or-2, x+or-3

D) x=+or-3, x=+or-5

E) x=0, x=+or-3, x=+or-12
<pre>Factor out GCF, x to get: {{{matrix(2,3, x(x^4 - 13x^2 + 36), "=", x(0), x(x^4 - 9x^2 - 4x^2 + 36), "=", 0)}}}
               <font color = blue><font size = 4><b>x[x<sup>2</sup>(x<sup>2</sup> - 9) - 4(x<sup>2</sup> - 9)] = 0</font></font></b> 
                         <font color = blue><font size = 4><b>x(x<sup>2</sup> - 4)(x<sup>2</sup> - 9) = 0</font></font></b>
          <font color = blue><font size = 4><b>x(x - 2)(x + 2)(x - 3)(x + 3) = 0</font></font></b> 
                                         {{{matrix(5,3, x, "=", 0, x - 2, "=", 0, x + 2, "=", 0, x - 3, "=", 0, x + 3, "=", 0)}}}      {{{system(matrix(3,3, x, "=", 0, x, "=", " "+- 2, x, "=", " "+- 3))}}}<font color = blue><font size = 4><b> <===== CHOICE A)</font></font></b></pre>