Question

4. Determine whether (x+1) is a factor of the polynomial xº + x² + x + 1.​

Answer 1

Step-by-step explanation:

given,

x+1 is a factor

to prove that

1+$x^{2} + x + 1$ = 0                      {$a^{0} = 1$}

=> $x^{2} +x$ +2=0

=> $x^{2}$ +2x-x+2=0

=> x(x+2) +1(x+2)=0

(x+1)(x+2)

Therefore,

x+1 is a factor of the polynomial xº + x² + x + 1.​

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