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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and given zeros. Write the function in standard form. 1, 2-radical 3

Respuesta :

Answer:

f(x) = (x - 1)(x - (2 - √3))(x - (2 + √3))

= (x - 1)((x - 2) + √3)((x - 2) - √3)

= (x - 1)((x - 2)² - 3)

= (x - 1)(x² - 4x + 1)

= x³ - 4x² + x - x² + 4x - 1

= x³ - 5x² + 5x - 1

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