Polynomial function problem as RuciA PaiyNamink FUNclaw with

Polynomial function problem.

as Ruci-A PaiyNamink FUNc/law with Zku CaciFA73,-5 AND 2+1 ARE

Solution

Since it is 3rd degree let\'s call it :
x³+ bx² + cx + d;
f(x) = -75 which means d=-75; (since it is the y-intercept);
Product of the roots = -d/1 = -(-75) = 75;
The two given roots are = -5 and 2+1 = 3;
Thus, let the third root be \'t\'
-5*3*t = 75
t= 75/15=-5;
sum of the roots = -b = -5+3-5 = -7;
Thus b=7;
Product of the roots taken two at a time = c
-5*-5 + 3*-5 + 3*-5 = 25-15-15 = -5
Thus c=-5
Hence the polynomial function becomes:
x³ +7x² -5x -75 ;