Question

Determine which of the following polynomial has x+1 a factor 1 : x³ + x² +1
2 : (x)⁴ + x³ + x +1

Answer 1

The 2nd polynomial has x+1 factor.

(x)⁴ + x³ + x +1

= x³(x+1)+(x+1)

=(x+1)( x³+1)

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