Question

Find the complex zeros of the following polynomial function. Write {f} in factored form. f(x)=2 x⁴-5 x³-20 x²+115 x-52 The complex zeros of f are (Simplify your answer)

Answer 1

To find the complex zeros of the polynomial function f(x) = 2x⁴-5x³-20x²+115x-52 and write it in factored form, we can use the quadratic formula.

Step-by-step explanation:

To find the complex zeros of the polynomial function f(x) = 2x⁴-5x³-20x²+115x-52 and write it in factored form, we can use the quadratic formula. Rearranging the function, we have:

2x⁴-5x³-20x²+115x-52 = 0

Using the quadratic formula, we obtain two complex zeros:

x = (-b ± √(b² - 4ac))/(2a)

By substituting the values of a = 2, b = -5, and c = -20 into the formula, we can calculate the complex zeros. The factored form of the function would be the product of the factors corresponding to the zeros.