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avatar+24 

What is the polynomial function of least degree whose only zeros are −2 ,3, and 4?

Drag a value to each parenthese to correctly state the function.

 

f(x)= x3(    )  x2  (     )     x (      )

 

the options are -24 ,-9 ,-5,-2,2,5,9,24 (You can only use these numbers in the final equation)

 Sep 8, 2020
 #1
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+1

The polynomial of least degree is x^3 + 9x^2 - 2x - 24.

 Sep 8, 2020
 #2
avatar+31103 
+2

If the zeros are -2, 3 and 4 that must mean the polynomial can be expressed as  (x + 2)*(x - 3)*(x - 4)

 

Multiply this out and collect like terms to find the coefficients. 

 Sep 8, 2020

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