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Given f(x)=3x^3-4x+k and x+2 is a factor of f(x), then what is the value of k?
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Given f(x)=3x^3-4x+k and x+2 is a factor of f(x), then what is the value of k?

User Dramasea
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Hope this helps you !!
Given f(x)=3x^3-4x+k and x+2 is a factor of f(x), then what is the value of k?-example-1
User Dibo
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5 votes

Answer:

k is 16

Explanation:

Factor is ( x+2 ):


{ \sf{x + 2 = 0}} \\ { \sf{x = - 2}}

Root is -2.


{ \bf{f(x) = 3 {x}^(3) - 4x + k}} \\ { \sf{f( - 2) = 0}} \\ { \sf{3 {( - 2)}^(3) - 4( - 2) + k = 0 }} \\ { \sf{ - 24 + 8 + k = 0}} \\ { \sf{ - 16 + k = 0}} \\ { \sf{k = 16}}

User Aaron J Lang
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