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Mathematics 16 Online
OpenStudy (anonymous):

According to The Fundamental Theorem of Algebra, how many zeros does the function f(x) = 16x4 + 8x3 + 4x2 – 2x – 15 have? 5 4 3 2

jimthompson5910 (jim_thompson5910):

What is the degree of this function

OpenStudy (anonymous):

5

jimthompson5910 (jim_thompson5910):

what makes you say that

OpenStudy (anonymous):

because there are 5 parts. The + and - are separating them into 5 parts

jimthompson5910 (jim_thompson5910):

true there are 5 terms, but that doesn't dictate the degree

jimthompson5910 (jim_thompson5910):

the degree is equal to the largest exponent

OpenStudy (anonymous):

oh okay so the degree is 4

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

therefore there are 4 zeros

jimthompson5910 (jim_thompson5910):

since the fund theorem says that degree = number of zeros

OpenStudy (anonymous):

okay I understand, thank you!

jimthompson5910 (jim_thompson5910):

yw

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