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3 years ago

Find a polynomial function p of lowest degree, having rational coefficients, with the given zero. 5i

1 answer:

7 0

If we have one zero of +5i, we also have to have its conjugate which is -5i. Therefore, the factors that we will FOIL to get that polynomial are (x+5i)(x-5i). That distribution results in $x^{2} -25 i^{2}$ . I'm sure by now you know that i squared is equal to -1, so -25(-1) = 25. So our polynomial is $x^{2} +25=y$

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Find a polynomial function p of lowest​ degree, having rational​ coefficients, with the given zero. 5i

Find a polynomial function p of lowest degree, having rational coefficients, with the given zero. 5i