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the polynomial x 3 + y 3 + z 3 + kxyz is divisible by x+ y+ z then value of k

the polynomial x3  + y 3  + z 3  + kxyz is divisible by x+ y+ z  then value of k

Grade:10

1 Answers

Prasenjit Maitra
27 Points
6 years ago
WE KNOW,  x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)
If K will be -3 then (x3 + y3 + z3 + kxyz) will divisible by (x+y+z)
so the answer is (-3)
 
 

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