Question

If p(x)=2x^3-11x^2-4x+5 and g(x)=2x+1 show that g(x) is not a factor of p(x).​

Answer 1

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Answer 2

Given :p(x) = 2x³-11x²-4x+5

g(x) = 2x +1

To prove : g(x) is not the factor of p(x)

solution:

On dividing we get the

quotient = x²-6x+1

remainder = 4

since , the remainder is not equal to zero

The g(x) is not the factor of p(x)

hence proved

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