How do I find the zeros of x^4-9x^2-4x+12 with Cauchy's Bound?
How do I find the zeros of x^4-9x^2-4x+12 with Cauchy's Bound?
How do I find the zeros of x^4-9x^2-4x+12 with Cauchy's Bound?
1 Answer
Explanation:
According to Cuchy's Bound, I took absolute value of leading coefficient, in this case |1|=1 and divide it into the largest of the remaining ones, in this case |12|=12. Hence
Due to sum of coefficients of it
Hence,
After using Rational Root Theorem,
Hence,
Thus, zeros of this polynomial are