Question

16. If p(x) = 2x2 - 11x2 - 4x +5 and g(x) = 2x+1, show that g(x) is not a
factor of p(x).​

Answer 1

Answer:

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Step-by-step explanation:

If p(x) = 2x3 - 11x2 - 4x +5 and g(x) = 2x + 1, show that g(x) is not a factor of p(x).

Given :

p(x) = 2x3 - 11x2 - 4x +5

g(x) = 2x + 1

Show that :

g(x) is not a factor of p(x).

Solution :

g(x) = 2x + 1 = 0

g(x) => x = -1/2

Now , putting x = -1/2 in given p (x) , we get

Since, p(x) = 2x^3 - 11x^2 - 4x + 5 is not equal to zero (0) , so g(x) is not a factor of p(x).