Answer :
Final answer:
To establish whether (2x-1) is a factor of the polynomial, we divide the polynomial 6x⁶+x⁵-92x⁴+45x³+184²+4x-48 by (2x-1). If there's no remainder, the statement is true; if there is a remainder, it's false. The polynomial appears to have a typo which should be corrected.
Explanation:
To determine whether the statement is true or false, we would need to divide the polynomial 6x⁶+x⁵-92x⁴+45x³+184²+4x-48 by the factor (2x-1). If the division results in a polynomial without any remainder, then the statement is true, and (2x-1) is indeed a factor. To perform the division, we can use either long division or synthetic division. If there is a remainder after the division, then (2x-1) is not a factor of the polynomial.
It's vital that you make sure you have the correct polynomial before carrying out the division process.
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