Use the given zero to find the remaining zeros of the polynomial function.

1. $ f(x) = x^4 - 7x^3 + 14x^2 - 38x - 60 $
- Given zero: $ 1 + 3i $

2. $ g(x) = 2x^5 - 3x^4 - 5x^3 - 15x^2 - 207x + 108 $
- Given zero: $ 3i $

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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Use the given zero to find the remaining zeros of the polynomial function.1. \( f(x) = x^4 - 7x^3 + 14x^2 - 38x - 60 \) - Given zero: \( 1 + 3i \)2. \( g(x) = 2x^5 - 3x^4 - 5x^3 - 15x^2 - 207x + 108 \) - Given zero: \( 3i \)

Answer :

Final answer:

Explanation:

Other Questions

Use the given zero to find the remaining zeros of the polynomial function.

1. \( f(x) = x^4 - 7x^3 + 14x^2 - 38x - 60 \)
- Given zero: \( 1 + 3i \)

2. \( g(x) = 2x^5 - 3x^4 - 5x^3 - 15x^2 - 207x + 108 \)
- Given zero: \( 3i \)