27. Show that the third differences of a polynomial function of degree 3 are nonzero and constant. First, use f(x) = x3 – 3x2 – 2x – 6. Then show that third differences are nonzero and constant for f(x) = ax + bx? + cx+ d, a + 0.

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27. Show that the third differences of a polynomial function of degree 3 are nonzero
and constant. First, use f(x) = x3 – 3x2 - 2x – 6. Then show that third differences
are nonzero and constant for f(x) = ax + bx2 + cx + d, a 0.
Transcribed Image Text:27. Show that the third differences of a polynomial function of degree 3 are nonzero and constant. First, use f(x) = x3 – 3x2 - 2x – 6. Then show that third differences are nonzero and constant for f(x) = ax + bx2 + cx + d, a 0.
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