Question

(x + 1) is a factor of which polynomial ?
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Answer 1

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.

Answer 2

Step-by-step explanation:

(X +1) is a factor of any polynomial P(X) only when we put x is equal to -1 gives p(x) = 0

lat us resume an example

p(x) = x^2 +2x +1

put x= -1

(-1)^2 + 2(-1) +1

1-2+1 =0

so X + 1 is a factor of x square + 2 X + 1

taking another example be (x square - 1)

x^2-1

put X equal to -1

(-1)^2 -1

1 -1 = 0

so X + 1 is also a factor of x square - 1