Question

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3 - I.

f(x)=

Answer 1

• f(x) = x³ - 6x² + 5x + 12

Explanation:

Given polynomial function f(x) with:

• a = 1, r₁ = 4, r₂ = 3, r₃ = -1

With the least degree it is:

• f(x) = 1*(x - 4)(x - 3)(x - (-1)) =
• (x² - 7x + 12)(x + 1) =
• x³ - 6x² + 5x + 12