Define a polynomial function k with degree three and has ro

Define a polynomial function, k , with degree three and has roots at x=3 , x=-13 , and x=5 and passes through the point (0,-7) .

Solution

roots at x=3 , x=-13 , and x=5

f(x) =k(x+3)(x+13)(x-5)

It passes through (0,-7) .Find k

-7 = k(3*13*-5)

k = 7/195

So, f(x) = 7/195(x+3)(x+13)(x-5)