knmmwillehe0ndo knmmwillehe0ndo

21-11-2016
Mathematics

Answered

Find a polynomial of degree n that has the given zeros. (There are many correct answers.)

zeroes: x=-1,5,7

degree: n=3

Verified Answer :

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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