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=

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Grade: Education Subject: mathematics
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=
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(295)

The given equation is

[tex] f(x) =  a(x + 3)(x + 1)(x - 2)(x-3) [/tex]

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

Substituting these values

[tex] 36 =  a(0 + 3)(0 + 1)(0 - 2)(0-3) \\ 36 = a(3)(1)(-2)(-3) \\ 36 = 18a \\ a =2 [/tex]

So the  missing value of a is 2 .

(99)

Answer:

its 2

Step-by-step explanation: