Enter the polynomial function with the least degree and a leading coefficient of 1 that has the given zeros. 0,4, square root of 6

Step-by-step explanation:

The roots given are 0,4 and .

We are required to find the polynomial function with the least degree

having the roots as 0,4 and .The minimum number of roots it can have is three and hence the least degree polynomial should be a cubic function.Hence the polynomial is of the form:

where a=1 (given in the question)

sum of the roots = =

∴b=

product of the roots taken two at a time =

∴c=4

product of the roots = = 0

∴d=0

Hence the polynomial function becomes

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.