Question

verify the number alongside of the cubic polynomial below are their zeroes. Verify the relationship between the zeroes and the co-effeciients in each case: x^3+6x^2- 11x +6; -1,-2,-3​

Answer 1

1. given equation is x^3+6x^2-11x+6
2. if x=-1 then ,
3. (-1)^3+6(-1)^2-11(-1)+6
4. -1+6+11+6
5. then answer is 22
6. if x=-2 then,
7. (-2)^3+6(-2)^2-11(-2)+6
8. -8+24+22+6
9. then answer is 44
10. if x=-3 then,
11. (-3)^3+6(-3)^2-11(-3)+6
12. -27+54+33+6
13. then answer is 66
14. so -1,-2,-3, are not the zeroes of polynomial x^3+6x^2-11x+6