Verified answer

Answer:

A. x = -3, 2, 3, -1

B. x^4 - 3x^3 - 15x^2 + 19x + 30 = 0

Step-by-step explanation:

This would be challenging yet fun

A.

x^4 - x^3 - 11x^2 + 9x + 18

-3 I   1    -1    -11    9    18

             -3    12  -3   -18

__________________

2 I   1   -4      1    6    0

             2     -4   -6

___________________

        1   -2     -3    0

x^2 - 2x - 3

( x - 3 ) ( x + 1 )

x = 3      x = -1

So the factors would be, x = -3, 2, 3, -1

B. x= 2, -1, -3, 5

( x - 2 ) ( x + 1 ) ( x + 3 ) ( x - 5 ) = 0

( x^2 - x - 2 ) ( x^2 - 2x - 15 )

x^4 - 2x^3 - 15x^2 - x^3 + 2x^2 +15x - 2x^2 + 4x + 30

x^4 - 3x^3 - 15x^2 + 19x + 30 = 0