Suppose denote the distinct real roots of the quadratic polynomial

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Suppose a,ba,b denote the distinct real roots of the quadratic polynomial x2+20x−2020x^2+20x-2020, and c,dc,d denote the distinct complex roots of the quadratic polynomial x2−20x+2020x^2-20x+2020. Then the value of ac(a−c)+ad(a−d)+bc(b−c)+bd(b−d)ac(a-c)+ad(a-d)+bc(b-c)+bd(b-d) is (A) 0 (B) 8000 (C) 8080 (D) 16000

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