(x+1) is a factor of the polyonmial
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Step-by-step explanation:
Let assume (x + 1) is a factor of x3 + x2 + x+1.
So, x = -1 is zero of x3 + x2 + x+1
(-1)3 + (-1)2 + (-1) + 1 = 0 ⇒ -1+1-1 + 1 = 0 ⇒ 0 = 0
Hence, our assumption is true...
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Answer:
x cube+x square+x+1 is the Answer
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