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 none of these

Solution

Third choice is correct answer.
Because at both end it\'s limit is approach to - infinity.
It is just touching x axis at x=-2 and x=3, however in case of choice first it will cross x axis at x=-2 and x=3.
Hence choice third is correct answer.