starbutterfly2456
starbutterfly2456 starbutterfly2456
  • 12-02-2019
  • Mathematics
contestada

write a polynomial function of least degree with integral coefficients that has the given zeros.​

write a polynomial function of least degree with integral coefficients that has the given zeros class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 12-02-2019

Answer:

x^3 -2x^2 -3x+6

Step-by-step explanation:

We have three roots

Using the root theorem

(x-sqrt(3)) (x- -sqrt(3)) (x-2)

(x-sqrt(3)) (x+sqrt(3)) (x-2)

We know that (x-a) (x+a) = x^2 -a^2

(x^2 -3)(x-2)

FOIL

first x^3

outer -2x^2

inner -3x

last 6

Add these together

x^3 -2x^2 -3x+6

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