Question

11) Which of the following is zero of the polynomial x^3+x^2+x+1

1
-1
both options 1 and 2
None

please answer​

Answer 1

The correct answer is option 2: -1

Explanation:

In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.

Given function is:

`x^3+x^2+x+1`

Putting x=1

`=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4`

1 is not zero of the function.

Putting x = -1

`=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0`

-1 is zero of the given function.

Hence,

The correct answer is option 2: -1