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Mathematics

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Write a polynomial equation of degree 4 that has the following roots: -1 repeated three times and 4

Answer :

sqdancefan sqdancefan

Today at 2:14 PM

9514 1404 393

Answer:

0 = x⁴ -x³ -9x² -11x -4

Step-by-step explanation:

Each root r contributes a factor of (x-r). The factored form of the polynomial of interest is ...

0 = (x +1)³(x -4)

0 = (x³ +3x² +3x +1)(x -4)

0 = x⁴ -x³ -9x² -11x -4

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