SOLUTION: use the given zero to find the remaining zeros of the function h(x)=3x^4+8x^3+45x^2+128x-48; zero:-4i the remaining zeros of "h" are

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: use the given zero to find the remaining zeros of the function h(x)=3x^4+8x^3+45x^2+128x-48; zero:-4i the remaining zeros of "h" are      Log On


   

Question 614167: use the given zero to find the remaining zeros of the function
h(x)=3x^4+8x^3+45x^2+128x-48; zero:-4i
the remaining zeros of "h" are
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

use the given zero to find the remaining zeros of the function

h(x)=3x^4+8x^3+45x^2+128x-48; zero:-4i

Note: (x-4i)(x+4i) = (x^2 + 16)

%283x%5E4%2B8x%5E3%2B45x%5E2%2B128x-48%29%2F%28x%5E2+%2B+16%29+=+3x%5E2+%2B+8x-3+

3x^2 + 8x-3

factoring:

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

  x = 1/3, -3     ||the remaining zeros