Question

List all 6 zeros and written in factored form question 21 and 22

Answer 1

Given,

The graph of the curve is shown in the question.

From the graph, it is seen that,

At point x = -1.5, a straight line is passing through the x-axis.

Hence, one zero of the curve is -1.5.

Now, At point 0, the curve is in a cubic form. So the zero of the curve is x = 0 with muliplicity of 3.

Now, At point 2, the curve is in a quadratic form. So the zero of the curve is x = 2 with muliplicity of 2.

Thus, the zeroes of curve is - 1.5, 0, 0, 0, 2 and 2.

The possible function of the curve is,

`(x)^3\mleft(x-2\mright)^2(x+(3)/(2))`

Hence, the function of the curve is (x)^3(x-2)^2(x+3/2).