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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)=

Respuesta :

mhanifa

Answer:

  • f(x) =  x³ - 6x² + 5x + 12

Step-by-step 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

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