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If p and q are the zeroes of the polynomial 2x²+3x+2 then find the value of- 1) p+q+pq 2) pq(p+q) 3) 1/p + 1/q 4) p/q + q/p |
Given polynomial is 2x2 + 3x +2 a = 2; b = 3; c = 2 p + q =- coefficient of x = -b/a = -3/2 coefficient of x2 pq = constant = c/a 2/2 = 1 coefficient of x2 1) p+q+pq -3/2 + 1 =-3+2/2 = -1/2 2) pq(p+q) = 1(-3/2) = -3/2 3) 1/p + 1/q = (p + q)/pq = -3/2 /1 = -3/2 |