If the polynomials ax 3 -7x 2 +7x-2 and x 3 -2ax 2 +8x-8 leave the same remainder when divided by x-2. Then the value of a is.

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CollectorBabu · Accepted Answer

Correct Answer: 2. a (2) ³ - 7 (2) ² + 7 x 2 – 2 = (2) ³ - 2 a (2) ² + 8 x 2 – 8 = 8 a – 28 + 14 – 2 = 8 – 8 a + 16 – 8 16 a – 30 + 14 – 24 – 8 = 0 16 a - 32 = 0 ∴ a = 2

If the polynomials ax 3 -7x 2 +7x-2 and x 3 -2ax 2 +8x-8 leave the same remainder when divided by x-2. Then the value of a is.

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