Question

Use the fact that the graph passes through (0,36) to find the coefficient a in f(x) = a(x + 3)(x + 1)(x - 2)(x – 3) a=

Answer 1

Answer: a = 2

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Answer 2

The given equation is

`f(x) =  a(x + 3)(x + 1)(x - 2)(x-3)`

It is given that , when x=0, f(x)=36

Substituting these values

`36 =  a(0 + 3)(0 + 1)(0 - 2)(0-3) \\ 36 = a(3)(1)(-2)(-3) \\ 36 = 18a \\ a =2`

So the missing value of a is 2 .