Write a polynomial function of least degree with integral coefficients that has the given zeros.

Mathematics

1 answer:

Triss [41]2 years ago

5 0

Answer:

Step-by-step explanation:

To get the equation, you must create the factors containing the roots.

So for example the first set of roots can be produced from

(x -2)(x^2 + 9)

which equals (when expanded) x^3 + 9x - 2x^2 - 18 which when put in the correct order gives

x^3 -2x^2 + 9x - 18

The second one is a bit more difficult to judge.

-5 and -3+ square root(2)

I don't think this is a polynomial. The coefficent is not integral. (-3 +√2)

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