Question 1067167
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(-4,0) , (5,0), and (0,-9)

Since the y-coordinate of the first two points are 0,
-4 and 5 are zeros, then f(-4)=0 and f(5)=0

So f(x) has factors (x+4) and (x-5)

So we know the polynomial f(x) is of the form 

f(x) = k(x+4)(x-5)  for some value k

We know that f(0) = -9

So

f(0) = k(0+4)(0-5) = k(4)(-5) = -20k = -9

                                   k = {{{9/20}}}

So f(x) = {{{9/20}}}(x+4)(x-5)

Edwin</pre></b></font>