If the zeros of the polynomial (x4−6x3−26x2+138x−35) are (2+√3) and (2−√3), find the other zeros.
Open in App
Solution
Since, it is given that 2+√3 and 2−√3 are the zeroes of the polynomial p(x)=x4−6x3−26x2+138x−35, therefore, (x−2−√3) and (x−2+√3) are also the zeroes of the given polynomial. Now, consider the product of zeroes as follows: Now, consider the product of zeroes as follows: