Determine which of the following polynomial has (X+1) factor x^4+2x^3+

1.	Determine which of the following polynomial has (X+1) factor x^4+2x^3+2x^2+X+1
Answer» Answer: Step-by-step EXPLANATION: When x+1 is a factor, p(-1) = 0 p(x) = x⁴ + 2x³ + 2x² +x +1 p(-1) = (-1)⁴ + 2(-1)³ + 2(-1)² +(-1) + 1 = 1 + 2(-1) + 2(1) + (-1) + 1 = 1 -2 +2 -1 +1 =1 ∵ (x+1) is not a factor of p(x) as p(x) ≠0

Determine which of the following polynomial has (X+1) factor x^4+2x^3+2x^2+X+1

Answer»

Answer:

Step-by-step EXPLANATION:

When x+1 is a factor, p(-1) = 0

p(x) = x⁴ + 2x³ + 2x² +x +1

p(-1) = (-1)⁴ + 2(-1)³ + 2(-1)² +(-1) + 1

= 1 + 2(-1) + 2(1) + (-1) + 1

= 1 -2 +2 -1 +1

∵ (x+1) is not a factor of p(x) as p(x) ≠0

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Determine which of the following polynomial has (X+1) factor x^4+2x^3+2x^2+X+1​

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Determine which of the following polynomial has (X+1) factor x^4+2x^3+2x^2+X+1