Consider the polynomial with coefficients a. 7 O b. 12 O c. 157480920 aj = j for When n=12, what is p(12)(7), or, in other words, what is the 12-th derivative of this polynomial evaluated at x=7? O d. 457801920 574801920 e. O f. 1574809200 O g. 4578019200 Oh. 5748019200 p(x) = n Σajx³ j=0 j = 0,..., n.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 51PS
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Consider the polynomial
with coefficients
O
a. 7
a; = j
j = 0, ..., n.
When n=12, what is p(¹2)(7), or, in other words, what is the 12-th derivative of this polynomial evaluated at x=7?
b. 12
c.
157480920
O d. 457801920
O e. 574801920
O f. 1574809200
4578019200
g.
Oh. 5748019200
n
p(x) = Σa;x¹
j=0
for
Transcribed Image Text:Consider the polynomial with coefficients O a. 7 a; = j j = 0, ..., n. When n=12, what is p(¹2)(7), or, in other words, what is the 12-th derivative of this polynomial evaluated at x=7? b. 12 c. 157480920 O d. 457801920 O e. 574801920 O f. 1574809200 4578019200 g. Oh. 5748019200 n p(x) = Σa;x¹ j=0 for
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