Question

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

Answer 1

Answer:

No it is not a factor.

Step-by-step explanation:

p(x) = 2x - 11x × 2 - 4x + 5

g(x) = 2x + 1

First equate g(x) to 0

2x + 1 = 0

2x = - 1

x = -1/2

Now replace x with -1/2 in p(x)

p(-1/2) = 2(-1/2) - 11(-1/2) 2 - 4(-1/2) + 5

= -1 + 11 +2 + 5

= -1 + 18

= 17

p(-1/2) is not equal to 0

If it was zero then we can say g(x) is a factor of p(x).

Hope it helped :))

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