Question 278564
3x + 8 = 0
A first degree polynomial. With rational coefficients like this, these always have 1 rational root.<br>
If "r" is a zero of a polynomial, then (x-r) is a factor of the polynomial. So if -4, 1 and 5 are to be roots, then (x-(-4)), (x-1) and (x-5) must be factors of the polynomial. And if we want a function "of least degree", then we do not want any more factors than these three. So this makes the function:
f(x) = (x+4)(x-1)(x-5)<br>
All that's left is to multiply this out. (Just multiply two of these and then multiply that answer by the first factor.)