ruhikaambavaram ruhikaambavaram

18-09-2021
Mathematics

contestada

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

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jimrgrant1 jimrgrant1

18-09-2021

Answer:

k = 5

Step-by-step explanation:

Given that (x + 1) is a factor of f(x) then f(- 1) = 0

f(- 1) = 3(- 1)³ + 2(- 1) + k

= 3(- 1) - 2 + k

= - 3 - 2 + k

= - 5 + k

Then - 5 + k = 0 ( add 5 to both sides )

k = 5

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