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yanalaym [24]
2 years ago
6

A polynomial function of degree 4 with real coefficients could have -3, 1+i, 1-i, and -3,7i as its zeros. true or false

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
5 0

Using complex numbers concepts, it is found that the statement is false.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

  • A complex number has the format a + bi, and it's conjugate is a - bi.

In this problem:

  • Real root -3.
  • Complex-conjugate roots 1 + i and 1 - i.
  • Complex root -3 + 7i.

The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.

A similar problem is given at brainly.com/question/24450834

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