Answer :
Final answer:
The original polynomial when a polynomial is divided by (x-8) giving quotient as 2x2+3x-5 and remainder as 8, should be 2x3-13x2 -29x + 48 according to the polynomial division rule, which is not given in the provided options. Hence, there might be a mistake in the question or options.
This correct answer is none of above.
Explanation:
In Mathematics, specifically in algebra, when a polynomial is divided by another polynomial, the dividend can be represented as the divisor times the quotient plus the remainder.
So, if a polynomial is divided by (x-8), and the quotient is 2x2+3x-5 and the remainder is 8, the original polynomial can be represented as (x-8)*(2x2+3x-5) + 8.
Expanding the brackets, we get 2x3-16x2 +3x2 -24x -5x +40 +8. By combining like terms, it equals to 2x3-13x2 -29x + 48. From the options given, none of them matches with the result.
So, there might been a typographical error in the provided options or the question itself.
This correct answer is none of above.
Learn more about Polynomial Division here:
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