Question

write a polynomial p(x), whose sum and product of the zeroes are 9/4 and -5/8 respectively. ​

Answer 1

Sum of zeroes = -9/2 Product of zeroes = - 3/2 The required polynomial is :- K[X^ 2 -(SUm of zeroes ses x+(pr product of zeroes)] K[X^ 2 -(-9/2)x+(-3/2)] K[X^ 2 +9X/2-3/2] put k = 2 to remove the fraction 2(x^ 2 +9x/2-3/2) » 2x ^ 2 + 9x - 3 is required polynomial