SOLUTION: Use the given zero to find the remaining zeros of the polynomial function P(x) =x^3+9x^2+x +9; -i

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Question 1201672: Use the given zero to find the remaining zeros of the polynomial function
P(x) =x^3+9x^2+x +9; -i
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!



----------Try polynomial division with this as divisor to P(x), and see what more you can do after this.
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.

For this given polynomial, it is easy to find its zeros even without the given info about the root x= -i.


Apply grouping and factor


    x^3 + 9x^2 + x + 9 = (x^3 + 9x^2) + (x + 9) = x^2*(x+9) + (x+9) = (x+9)*(x^2+1).


Other zeroes are -9 and i.    ANSWER



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