College

Determine if \((2x - 1)\) is a factor of the polynomial \(6x^6 + x^5 - 92x^4 + 45x^3 + 184x^2 + 4x - 48\).

A. True

B. False

Answer :

Final answer:

Yes, (2x - 1) is a factor of the given polynomial.


Explanation:

Yes, (2x - 1) is a factor of the given polynomial.

To determine if (2x - 1) is a factor of the polynomial, we can use synthetic division. Setting up the synthetic division with 2x - 1 as the divisor, we can divide the polynomial and check if the remainder is zero.

If the remainder is zero after performing the synthetic division, then (2x - 1) is indeed a factor of the polynomial.


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