Which one of the following polynomial functions would have t

Which one of the following polynomial functions would have the following features? As x approaches positive infinity, y approaches negative infinity As x approaches negative infinity, y approaches negative infinity Touches the x-axis at -2 Touches the x-axis at 3 p(x) = -(x+2)^3(x-3)^3 p(x) = (x+2)^2(x-3)^2 p(x) = -(x+2)^2(x-3)^2 p(x) = (x-2)^2(x-3)^5 Solve in the complex number system: x^2 = 1. X=1,-1 x=1 x=i,-1 x=1,-1,i, -1

Solution

8.

Since we have given that :-

x+, f(x)

x , f(x)

Hence the degree of the polynomial must be even and the leading coeeficient is negative

Also graph touches x axis at -2 and 3 hence the multiplicity of these two roots must be even

All these properties exists is option C

Hence C is the correct option

9.

We have given x^2 = 1

Take square root both sides and we know when we take square root we must add plus minus sign in our solution set, Hence we have \'

sqrt(x^2) = sqrt(1)

=> x = 1 , -1

A is the correct option