ash2155
contestada

Please help, due tomorrow. will give brainlist if correct.

Given f(x)= 2x^3+7x+k and x+1 is a factor of f(x), then what is the value of k?

Respuesta :

Answer:

k=9

Step-by-step explanation:

to understand this

you need to know about:

  • factor theorem
  • function
  • PEMDAS

tips and formulas:

  • When f(c)=0 then x−c is a factor of f(x)

let's solve:

according to the question

[tex]2( - 1)^3+7( - 1)+k = 0[/tex]

[tex]2. - 1 - 7 + k = 0[/tex]

[tex] - 2 - 7 + k = 0[/tex]

[tex] - 9 + k = 0[/tex]

[tex]k = 9[/tex]

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