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Find the value of ‘m’, if mx^3 + 2x^2 – 3 and x^2 – mx + 4 leave the same remainder when each is divided by x – 2.

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Find the value of ‘m’, if mx3 + 2x2 – 3 and x2 – mx + 4 leave the same remainder when each is divided by x – 2.

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Let f(x) = mx3 + 2x2 − 3

g(x) = x2 − mx + 4

It is given that f (x) and g (x) leave the same remainder when divided by (x − 2). Therefore, we have:

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