1.

x + 1 is a factor of the polynomial(a) x3 + x2 – x +1(b) x3 + x2 + x+1(c) x4 + x3 + x2 +1(d) x4 + 3x3 + 3x2 + x +1

Answer»

(b) x3 + x2 + x+1

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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