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the answer of your question is a = -13/3.
Explanation:- Let us denote the given polynomials as
f(x) = 2x^3 + ax^2 +3x - 5
g(x) = x^3 + x^2 - 4x + a
h(x) = x-2
R1 = f(2)
= 2(2)^3 + a(2)^2 + 3(2) - 5
= 16 +4a + 6 - 5
= 4a - 17
R2 = g(2)
= (2)^3 + (2)^2 - 4(a) + a
= 8 + 4 - 8 + a
= a + 4
R1 = R2
= 4a + 17 = a + 4
= 4a - 4 = 4 - 17
= 3a = -13
= a = -13/3.
I hope this answer will helpful for you.
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