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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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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