Question

Find value of k if (3x+2) is factor of x3 kX2 -7x + k

Answer 1

Hey buddy!!


Here is yr answer
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Given,

=> x³ + kx² -7x + k = 0

(3x+2) is a factor of that equation...

3x+2 = 0
3x = -2
x = -2/3


(-2/3)³ + k(-2/3)² -7(-2/3) +k = 0

-8/27 + k(4/9) +14/3 + k = 0

-8/27 + 4k/9 + 14/3 + k = 0

-8 + 12k + 126 + 27k /27 = 0

118 + 39k /27 = 0

118 + 39k = 27

39k = 27 - 118

39k = -91

k = -91/39



Hope it hlpz..

Answer 2

here is your answer .if it helps mark me as brainliest