Question 1146039
<br>
A zero of multiplicity 1 at x=3 means one factor of (x-3);
A zero of multiplicity 3 at x=2 means three factors of (x-2).<br>
1 factor of (x-3) and 3 factors of (x-2) makes the degree 4, so there are no other factors.<br>
And the leading coefficients of 1 in all the factors means the leading coefficient of the polynomial is 1.<br>
ANSWER:<br>
f(x) = (x-3)(x-2)^3<br>
Expand and simplify if required....