How do you find the polynomial function P of lowest degree, having rational coefficients, with the given zero: 3i? Precalculus Polynomial Functions of Higher Degree Zeros 1 Answer bp Dec 12, 2016 Answer: #x^2+9# Explanation: If given zero is 3i, then -3i would also be a zero of the function, because complex zeros always occur in conjugate pairs. Thus the factors of the polynomial would be (x+3i)(x-3i) which equals #x^2+9# Related questions What is a zero of a function? How do I find the real zeros of a function? How do I find the real zeros of a function on a calculator? What do the zeros of a function represent? What are the zeros of #f(x) = 5x^7 − x + 216#? What are the zeros of #f(x)= −4x^5 + 3#? How many times does #f(x)= 6x^11 - 3x^5 + 2# intersect the x-axis? What are the real zeros of #f(x) = 3x^6 + 1#? How do you find the roots for #4x^4-26x^3+50x^2-52x+84=0#? What are the intercepts for the graphs of the equation #y=(x^2-49)/(7x^4)#? See all questions in Zeros Impact of this question 1128 views around the world You can reuse this answer Creative Commons License