Question

it is given that -1 is one of the zeros of polynoal x
3
+2x
2
−11x−12 find all the zeros of polynomial

${x}^{3} + 2 {x}^{2} - 11x - 12$
​

Answer 1

Step-by-step explanation:

x^3+2x^2-11x-2

-1| 1 2 -11 -12

|

|. 0 -1 -1 12

___________

| 0

therefore,the other factors is x^2+x-12

x^3+2x^2-11x-12=(x+1)(x^2+x-12)

(x+1)=0. (x^2+x-12)=0

x=-1. (x+4)(x-3)=0

so the roots are x=1,-4,3