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mickeysuarez144
mickeysuarez144 mickeysuarez144
  • 11-07-2016
  • Mathematics
Answered

f (x + 2) is a factor of x3 − 6x2 + kx + 10, k =

Verified Answer :

samgharsh1234
samgharsh1234 samgharsh1234
  • 11-07-2016

X+2 is a factor of given polynomial
So x=-2 is a zero of that polynomial
Now Put the value of x in polynomial
X3-6x2+kx+10=0
(-2)^3-6×(-2)^2-k×2+10=0
Or
-8-24-2k+10=0
Or
-32+10=2k
Or
-22=2k
So
K=-11

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