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3 years ago

Find a polynomial function that has the given zeros. (There are many correct answers.) −4, 6

Mathematics

1 answer:

daser333 [38]3 years ago

5 0

If polynomial function vanishes at

, then

(

−

)

must be one of its factors.

Thus

(

−

)

(

−

√

)

and

(

−

√

)

are factors of the required polynomial.

The simplest polynomial that satisfies this is

(

−

)

(

−

√

)

(

−

√

)

(

−

)

{

(

−

)

−

√

}

{

(

−

)

√

}

(

−

)

{

(

−

)

−

}

(

−

)

(

−

)

(

−

)

(

−

)

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