# math

Find the interval(s) on which f(x)>0f(x)>0 and f(x)<0f(x)<0, forf(x)=18(x?10)(x+4)f(x)=?2(x?2)(x+5)f(x)=18(x?2)(x+7)^2(x?17)f(x)=5(x+10)^3(x+15)^2(x?15)^4Find an equation for a polynomial of degree 2 with the following properties:zeros at x=1 and x=?8xf(0)=64Find an equation for a polynomial of degree 3 with the following properties:zeros at x=10,x=20 and x=?5xf(0)=?20000Find an equation for a polynomial of degree 4 with the following properties:zeros at x=6,x=12 and x=?2xf(0)=?6912f(x)<0 only on the interval (?2,6)Find an equation for a polynomial of degree 5 with the following properties:zeros at x=10, and x=?7xf(0)=?19f(x)>0 only on the interval (??,?7)Find an equation for a polynomial of degree 7 with the following properties:zeros at x=10,x=?7 and x=?1xf(0)=4f(x)<0 only on the interval (??,?7)