Question

the polynomial x^2 +1 has no real zeroes.Do you agree? Justify ur answer​

Answer 1

Answer:

Zero of the polynomial is the value of that variable present in the polynomial which makes the whole polynomial equals to zero.

ln this given polynomial zeros are not real as

We know that square of any real number is not equals to negative number so,

${x}^{2}$

will not be negative.

Also except this only 1 is present in the polynomial which is not negative.

And when we add two positive real numbers then the result cannot be equals to zero.

so, the polynomial will not be equal to 0 for any real value of x.

Hence this polynomial have no real zeros.