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

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

Respuesta :

Answer:

p(x) = x^4  - x^3  - 9x^2  - 11x  - 4

Step-by-step explanation:

You are saying there are  3 roots of  x = -1   and one  x = 4 root

so...

p(x)  =  [(x + 1)^3 ] * (x - 4)

p(x) =  (xxx  + 3xx  + 3x + 1 )*(x- 4)

p(x) = x^4  + 3 x^3  + 3x^2  + x  -  4x^3 - 12xx  - 12x  - 4

p(x) = x^4  - x^3  - 9x^2  - 11x  - 4

Answer: yes

Step-by-step explanation:

do u by chance still have access to those units on odyssey would love to get the answers lol.