RozlynZ296925 RozlynZ296925

04-11-2022
Mathematics

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If x+2 is factor of x^3-6x^2-11x+k, then k=

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EligioF547105 EligioF547105

04-11-2022

we have the following:

[tex]f(x)=x^3-6x^2-11x+k[/tex]

so, x + 2, x = - 2, replacing:

[tex]\begin{gathered} f(-2)=(-2)^3-6(-2)^2-11(-2)+k \\ 0=-8-24+22+k \\ k=8+24-22 \\ k=10 \end{gathered}[/tex]

the value of k, is 10

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