
William W. answered 06/15/20
Math and science made easy - learn from a retired engineer
f(x) = (x + 5)(x + 4)(x + 3)(x + 2)
If you need to have it in standard form, you can multiply it out:
f(x) = (x2 + 9x + 20)(x2 +5x + 6)
f(x) = x4 + 14x3 + 71x2 + 154x + 120
Please note that there are many other possible polynomials that also meet this criteria, just multiply everything by any number to get another possibility.