Question

Determine the following (x + 1) is a factor of x²+4x²+1 or not
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Answer 1

Step-by-step explanation:

refer to the attachment

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Answer 2

Answer:

Let q(x) = (x + 1)

and p(x) = x²+4x²+1

q(x) = 0 ⇒ x + 1 = 0

            ⇒ x = 0 - 1

            ⇒ x = -1

p(x) = x² + 4x² + 1

p(-1) = (-1)² + 4(-1)² + 1

       =  1 + 4 + 1

       = 6

∴  (x + 1) is not a factor of x²+4x²+1

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