find all other zeros of the polynomial x power 4 plus x cube minus 9 x square - 3 x + 18 if it is given that two of the zeros are minus root 3 and root 3
Answers
Answered by
4
x^4+x^3-9x^2-3x+18
2 roots are -√3, √3
(x+√3)(x-√3)
=x^2-3
x^2-3|x^4+x^3-9x^2-3x+18|x^2
x^4 -3x^2
(-) (+)
___________________
0+x^3-6x^2-3x+18
from here u can divide then split
2 roots are -√3, √3
(x+√3)(x-√3)
=x^2-3
x^2-3|x^4+x^3-9x^2-3x+18|x^2
x^4 -3x^2
(-) (+)
___________________
0+x^3-6x^2-3x+18
from here u can divide then split
Similar questions