Answer :
Final answer:
To find the remaining zeros of the polynomial function f(x) = x^4-7x^3+14x^2-38x-60, use the conjugate pair theorem by factoring the quadratic equation obtained from synthetic or long division.
Explanation:
To find the remaining zeros of the polynomial function f(x) = x^4-7x^3+14x^2-38x-60, given the zero 1+3i, we can use the conjugate pair theorem. Since 1+3i is a zero, its conjugate 1-3i is also a zero. To find the remaining zeros, we can use synthetic division or polynomial long division to divide f(x) by the binomial (x - (1+3i))(x - (1-3i)). This will give us a quadratic equation, which can be factored to find the remaining zeros.
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