Form a polynomial f(x) with real coefficients having the given degree and zeros.

Question

 Degree 4; zeros -5-5i, -1 multiplicity 2?

Answer 1

Step 1 :

Complex zero of polynomial function is and real zeros are .

Using complex conjugate root theorem is a zero of the polynomial function.

Required polynomial is fourth degree polynomial.

Step 2 :

Zeros are ,   and .

By using Factor theorem,

When then is factor of polynomial.

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Solution :

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