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What is the result when 2x^(3)-x^(2)+10x+5 is divided by 2x-1 ?

User GregD
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Final answer:

To divide 2x^(3)-x^(2)+10x+5 by 2x-1, we can use polynomial long division. The result will be x^(2)+5.5 remainder 10.5.

Step-by-step explanation:

To find the result when 2x^(3)-x^(2)+10x+5 is divided by 2x-1, we can use polynomial long division.

Start by dividing the first term, 2x^(3), by 2x. This gives us x^(2).

Multiply (2x-1) by x^(2) to get 2x^(3)-x^(2).

Subtract 2x^(3)-x^(2) from 2x^(3)-x^(2)+10x+5 to get 11x+5.

Repeat the process with the new dividend (11x+5). Divide 11x by 2x to get 5.5.

Multiply (2x-1) by 5.5 to get 11x-5.5.

Subtract 11x-5.5 from 11x+5 to get 10.5.

Finally, divide 10.5 by 2x-1 to get the remainder.

User Sid Brooklyn
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