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Write a polynomial function with zeros at x = -2, 1, and 4.

Sagot :

  • a=-2
  • b=1
  • c=4

[tex]\\ \sf\longmapsto f(x)=(x-a)(x-b)(x-c)[/tex]

[tex]\\ \sf\longmapsto f(x)=(x+2)(x-1)(x-4)[/tex]

[tex]\\ \sf\longmapsto f(x)=(x^2+x-2)(x-4)[/tex]

[tex]\\ \sf\longmapsto f(x)=x(x^2+x-2)-4(x^2+x-2)[/tex]

[tex]\\ \sf\longmapsto f(x)=x^3+x^2-2x-4x^2-4x+8[/tex]

[tex]\\ \sf\longmapsto f(x)=x^3-3x^2-6x+8[/tex]

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