Question

obtain all other zeros of the polynomial x power 4 + 4 x cube minus 4 x square - 32 x minus 30 if two of its zeros are 2 root 2 and minus 2 root 2​

Answer 1

Answer:

solved

Step-by-step explanation:

x power 4 + 4 x cube minus 4 x square - 32 x minus 32 = 0

x^4 + 4 x ³ - 4 x² - 32 x - 32 = 0

( x- 2√2)(x+2√2) = x² - 8 = 0

Now

x^4 + 4 x ³ - 4 x² - 32 x - 32 ÷ x² - 8 = x² +4x + 4 = (x+2)²

other roots are -2 , -2

REMARK :

I changed the value of the last term of the polynomial equation

from 30 to 32

so as to fit the requirements.