Question

Help needed ASAP!

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

Answer 1

`{x}^(4) - {x}^(3) - {9x}^(2) - {11x}^(2) - 4`

Explanation:

Since the roots are -1,-1,-1 and 4 we can that as.

`(x + 1)(x + 1)(x + 1)(x - 4)`

x+1=0, x equal -1, and x-4=0 and x equal 4. Then apply the foil method to one at a time and you equal the answer above.