Question

(x + 1) is a factor of the polynomial
x cube + x square - x + 1
x cube + x square + x +1
x power 4 + x cube + x square + 1
x power 4 + 3x cube + 3x square + x + 1
​

Answer 1

Hey Mate!!

Option 2 is correct

(x+1) is a factor of x^3 + x^2 + x + 1.

Proof ;

X= -1 . Substitute in the equation.

X(-1) = (-1)^3 + (-1)^2 + (-1) + 1

X(-1) = -1 + 1 - 1 + 1

X(-1) = 0

Therefore, ( x+1) is a factor of x^3 + x^2 + x + 1

Hope this helps you!!

Answer 2

Answer:

your answer is 2nd option

here we did option verification

by this process we just substitute the given conditions in the options and verify whether LHS=RHS

Step-by-step explanation:

I hope it helps you

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