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i cannot see what mc001-1.jpg is, but i assume it is a complex number. so according to the irrational root theorem, if a + √b is a root of a polynomial equation where a and b are rational numbers and √b is an irrational number, then a - √b is also a root

the answer would be the complex number given with the opposite sign before √b.

if this doesn't help and you need more clarification, comment what mc001-1.jpg is and i'll be happy to help.
abidemiokin

The possible third root of the polynomial is -√7

Given a polynomial function with the roots 3 and √7, we need to find the third possible root of the polynomial.

If we look at the first two roots that were given, we can see that;

  • 3 is a real root
  • √7 is an irrational root

Note that some of the roots of a polynomial always occur as a conjugate pair especially the irrational roots.

Since the irrational root that we have is √7, hence its conjugate pair will be -√7.

Hence the possible third root of the polynomial is -√7

Learn more on roots of polynomial here: https://brainly.com/question/2833285

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