+129840 -4x^4+35x^3-87x^2+56x+20
This would be difficult to evaluate algebraically (although we might try using the "Factor Theorem")....graphing seems easier........see the graph here: https://www.desmos.com/calculator/vxoqyp6nue
Note something interesting....the roots are -1/4, 2 and 5 with the middle value (2) being of a multiplicity of 2. A "zero" with a multiplicity greater than one will always occur when the graph just "touches" the x axis, but doesn't go "through" the x axis....!!!
+129840 -4x^4+35x^3-87x^2+56x+20
This would be difficult to evaluate algebraically (although we might try using the "Factor Theorem")....graphing seems easier........see the graph here: https://www.desmos.com/calculator/vxoqyp6nue
Note something interesting....the roots are -1/4, 2 and 5 with the middle value (2) being of a multiplicity of 2. A "zero" with a multiplicity greater than one will always occur when the graph just "touches" the x axis, but doesn't go "through" the x axis....!!!
