For the following exercises, use the given information about the polynomial graph to write the equation. Zeros at x = −2, x = 1, and x = 3. (0, −4).

postillan4

postillan4

Answered question

2021-09-30

Write the equation.  Zeros at x = −2, x = 1, and x = 3. y-intercept at (0, −4).

Answer & Explanation

Ezra Herbert

Ezra Herbert

Skilled2021-10-01Added 99 answers

 x — intercept=-2,1,3 
intercept of multiplicity =-4 
Degree=4 
Its general equation becomes: since it is a third degree function with three x intercepts.f(x)=a(x+2)(x1)(x3) 
Use the y - intercept (0, -4) to calculate the value of a, therefore enter f(0)=-4 in this equation: 
4=a(0+2)(01)(03) 
-4=6a 
 a=46=(23) 
f(x) =((23))(x+3))(x1)(x3)
 

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