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
1 answer:
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
, and it's conjugate is
.
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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