Answer
See below
Work Step by Step
Find some values:
$f(1)=0\\
f(2)=6\\f(3)=56\\f(4)=210\\f(5)=552\\f(6)=1190\\f(7)=2256$
The function is of degree 4.
Third-order differences are always $24$.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 5 Polynomials and Polynomial Functions - 5.9 Write Polynomial Functions and Models - 5.9 Exercises - Skill Practice - Page 397: 14
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