knmmwillehe0ndo knmmwillehe0ndo
  • 21-11-2016
  • Mathematics
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Find a polynomial of degree n that has the given zeros. (There are many correct answers.)
zeroes: x=-1,5,7
degree: n=3

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HomertheGenius
HomertheGenius HomertheGenius
  • 22-11-2016
( x + 1 ) * ( x  5 ) * ( x - 7 ) =
= ( x² - 5 x + x - 5 ) * ( x - 7 ) =
= ( x² - 4 x - 5 ) * ( x - 7 ) =
= x³ - 7 x² - 4 x² + 28 x - 5 x + 35 
Answer:
P ( x ) = x³ - 11 x² + 23 x + 35
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