Question

find the value of k.

please help me

I will mark you brainlist ​

Answer 1

Answer:

if x+3 is a factor then x+3=0

x=-3

$3 {x}^{3} + kx + 6 = 0 \\ 3 ({ - 3}^{3} ) + k( - 3) + 6 = 0 \\ 3( - 27) - 3k + 6 = 0 \\ - 81 - 3k + 6 = 0 \\ - 75 - 3k = 0 \\ - 3k = 75 \\ k = - 25$

Answer 2

Step-by-step explanation:

if the x+3 is factor than it should give us 0

x+3=0

x=-3

let put this value as p(x)

p(x)=3x^3+Kx+6

p(-3)=3(-3)^3+k(-3)+6

0=3(-27)+k(-3)+6

0=-81+(-3k)+6

0=-81-3k+6

0=-75-3k

75=-3k

75/3=k

25=k

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