Which statement justifies that 3x2 − 2x − 4 multiplied by 2x2 + x − 3 obeys the closure property of multiplication? the result 6x4 − 2x2 + 12 has a degree of 4. the result 6x4 − 2x2 + 12 is a trinomial. the result 6x4 − x3 − 19x2 + 2x + 12 is a polynomial. the result 6x4 − x3 − 19x2 + 2x + 12 has a degree of 4. i think it is b.

We have been given two polynomials

Let us first multiply these polynomials.

Now, we know that polynomials follows closure property of multiplication.

It means that when we multiply two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got which is a polynomial.

Therefore, the correct option is

The result   is a polynomial.

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'.