Use the given zero to find the remaining zeros of the function. F(x)=x^3+8x^2-18x+20; zero: 1+i?


2 Answers

Oddman Profile
Oddman answered
Zeros of polynomials with real coefficients always come in conjugate pairs. Thus, another zero is 1-I. These two zeros mean that
  (x-1+I)(x-1-I) = x^2 -2x -2
is a factor of F(x).
By polynomial division, we find the remaining factor to be x+10.
The zeros of F(x) are
  1 ± I, -10.
shilpa mary Profile
shilpa mary , Zeros of Polynomial Equation, answered

of the polynomial equation is also called as zeros of a polynomial
equation. The zeros of a polynomial equation are the solutions of the
function f(x) = 0.

The expression you have given, x^3+8x^2-18x+20

Zeros of polynomial equation is: (x + 9.22337203685E+18)

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