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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.

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 class=

Respuesta :

i THOUGHT i ANSWERED THAT?
SEE FASCTOR THEOREM :aNSWER IS MINUS (A -  √ B)

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]

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