Question 855560
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
P(x) = 2x^4 - 7x^3 + 5x^2 - 7x + 3
1. lower between 0 & 1, upper between 2 and 4.  real zeroes: x = .5, 3
Using synthetic Division:
3	2	-7	5	-7	3
		6	-3	6	-3
	2	-1	2	-1	0
0.5		1	0	1	
	2	0	2	0	
(x-3)(x-.5)(2x^2 + 2)
2. P(x) = 2(x-3)(x-.5)(x -i)(x+i)
3. P(x) = 2(x-3)(x-.5)(x -i)(x+i) = 0
   x = .5, 3, -i, i
{{{drawing(300,300,   -6, 6, -6, 6, grid(1), 
circle(3, 0,0.2),
circle(.5, 0,0.2),
graph( 300, 300, -6, 6, -6, 6,0,2x^4 - 7x^3 + 5x^2 - 7x + 3 ) )}}}