Question

x+1 is a factor of which polynomial​

Answer 1

Step-by-step explanation:

x+1= 0=> X= -1

thus, any polynomial P(X) = -1 will be the multiple

Answer 2

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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