If a polynomial has one root in the form a + the square root of B it has a second root in the form of a _ square root of b.
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Answer:
[tex]a-\sqrt{b}[/tex]
Step-by-step explanation:
It's important to know that where roots of a polynomial involves radical roots, it does as conjugates. That is, the roots have the same terms but with a opposite middle sign between.
So, in this case, we have one root [tex]a+\sqrt{b}[/tex], which involves a root and a positive sign. To complete the conjugate behaviour, the other roots has to have the same terms but with different sign between, that is [tex]a-\sqrt{b}[/tex]
Therefore, the answer that completes the given statement is
[tex]a-\sqrt{b}[/tex]