Question

if Y + 1 is a factor of ky^3 + y^2- 2y + 4 k - 10 then the value of k is​

Answer 1

let p(x) =ky³+y²-2y+4k-10

let Y+1 =0

hence, Y=(-1)

now since y+1 is a factor of px

therefore, p(-1) =0

k(-1) ³+(-1) ²-2(-1) +4(-1) -10=0

-k+1+2-4-10=0

-k-9=0

-k=9

hence, value of k is (-9)

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