Question

Find all the zeroes of the polynomial x3+11x+23x-35 if two of its zeroes are 1 and -5

Answer 1

Given two zeroes are 1 and -5

From the polynomial sum of zeroes = -11

Let the 3rd zero be α

So, 1 - 5 + α = -11

- 4 + α = -11

α = -7

So, all the zeroes are 1,-5,-7