SOLUTION: can someone help me with this....Use the given zero to find the remaining zeros of the function. f(x)= x^3-6x^2+16x-96​; ​ zero:-4i Enter the remaining zeros of f.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can someone help me with this....Use the given zero to find the remaining zeros of the function. f(x)= x^3-6x^2+16x-96​; ​ zero:-4i Enter the remaining zeros of f.      Log On


   

Question 1157332: can someone help me with this....Use the given zero to find the remaining zeros of the function.
f(x)= x^3-6x^2+16x-96​; ​ zero:-4i
Enter the remaining zeros of f.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The coefficients are real, so the complex roots occur in conjugate pairs. Given that one root is -4i, a second root is +4i.

Vieta's Theorem tells us that the sum of the three roots is 6; since the sum of the first two roots is 0, the third root is 6.

ANSWERS: the remaining roots are 4i and 6