Question

let r1 and r2 are the remainders when the polynomials 4x^3 + 3x^2 - 12ax - 5 and 2x^3 +ax^2 -6x +2 are dividedby (x-1) and (x-2) respectively if 3r1 +r2 = -28​ and also find a ???​

Answer 1

Answer:

Basic Algebra Identities

(a + b)2 = a2 + b2 + 2ab

(a – b)2 = a2 + b2 – 2ab

a2 – b2 = (a + b)(a – b)

a2 + b2 = (a + b)2 – 2ab = (a – b)2 + 2ab

a3 + b3 = (a + b)(a2 – ab + b2)

a3 – b3 = (a – b)(a2 + ab + b2)

(a + b)3 = a3 + 3ab(a + b) + b3

(a – b)3 = a3 – 3ab(a – b) – b3