A polynomial equation with rational coefficients has the roots -8 and 2-i. Find two additional roots

Step-by-step explanation:

If the polynomial is a cubic (third-degree), then it is

f(x) = x³+4x²-27x+40

and the other root is 2+i.

However, if we need two additional roots, it implies that the polynomial is a quartic (fourth degree).  In that case, we need additional information.  Reread the original question and  update post if necessary.

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step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.