The polynomial p(x)=2x^3+17x^2+41x+30p(x)=2x 3
+17x
2
+41x+30p, left parenthesis, x, right parenthesis, equals, 2, x, cubed, plus, 17, x, squared, plus, 41, x, plus, 30 has a known factor of (x+5)(x+5)left parenthesis, x, plus, 5, right parenthesis.
Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.

they are simplified

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.