The polynomial $$4x^{10} − x^{9} + 3x^{8} − 5x^{7} + cx^{6} + 2x^{5} − x^{4} + x^{3} − 4x^{2} + 6x − 2$$ when divided by $$x - 1$$ leaves a remainder 2. Then the value of $$c + 6$$ is________.

Correct Answer: 5

We are told that when the given polynomial is divided by (x-1), the remainder is 2.

This can also be said as f(1) = 2

f(1) = 4-1+3-5+c+2-1+1-4+6-2 = c+3 = 2

c=-1

The value of c+6 = 5

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