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Mathematics

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Determine whether x-1 is a factor of the polynomial f(x)= x^3 + 2x^2-3

Answer :

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If x-1 is a factor f(1)=0

[tex]\\ \sf\longmapsto f(1)=0[/tex]

[tex]\\ \sf\longmapsto 1^3+2(1)^2-3=0[/tex]

[tex]\\ \sf\longmapsto 1+2-3=0[/tex]

[tex]\\ \sf\longmapsto 3-3=0[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

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