Answer
$4(x+2)(x+0.5)(x-0.5)(x-3)$
Work Step by Step
We are given the polynomial:
$p(x)=4x^4-4x^3-25x^2+x+6$
From the graph, we find the roots:
$x_1=-2$
$x_2=-0.5$
$x_3=0.5$
$x_4=3$
Factor the polynomial:
$4x^4-4x^3-25x^2+x+6=4(x+2)(x+0.5)(x-0.5)(x-3)$