The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1. x –3 –2 0 1 2 h(x) 0 –23 –12 0 0 If every x-intercept of h(x) is shown in the table and has a multiplicity of one, what is the equation of the polynomial function?    h(x) = x3 + 6x2 + 11x – 6  h(x) = x3 – 7x + 6  h(x) = x3 – 7x – 6  h(x) = x4 + 2x3 – 7x2 – 8x + 12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1.

x –3 –2 0 1 2
h(x) 0 –23 –12 0 0



If every x-intercept of h(x) is shown in the table and has a multiplicity of one, what is the equation of the polynomial function?

 

 h(x) = x3 + 6x2 + 11x – 6

 h(x) = x3 – 7x + 6 

h(x) = x3 – 7x – 6 

h(x) = x4 + 2x3 – 7x2 – 8x + 12

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