Question 909606
 <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi
g(x)    =   {{{-  x^4 + 13x^2 -36}}}
how to solve
y-intercept(when x = 0) is -36 
Find x-intercetps:  -3,-2,2,3
I. By factoring (x^2 - 4)(x^2 -9) = (x-2)(x+2)(x-3)(x+3)
0r
II. By Synthetic Division noticing x=2 is one root
2  -1	0	13	0	-36
	-2	-4	18	36
   -1	-2	9	18	0
(x-2)(-x^3 -2x^2 +9x + 18)  Note: x = -2 root for -x^3 -2x^2 +9x + 18
-2  -1	-2	9	18	
	2	0	-18	
   -1	0	9	0
(x-2)(x+2)(-x^2 + 9)= (x-2)(x+2)(x-3)(x+3)
Or
III. by Graphing 
{{{drawing(300,300,   -10,10,-40,10,  
 grid(1),
graph( 300, 300, -10,10,-40,10,0, -x^4 + 13x^2 -36))}}}