Question

Find the value of k, if (x-2) is a factor of 7x^3-2x^2+x-k

Answer 1

( X - 2 ) is a factor of the given polynomial 7X³ - 2X² + X - K.




So,


( X - 2 ) = 0


X = 2


P ( x ) = 7X³ - 2X² + X - K



Substitute X = 2 in P ( x ).


P (2) = 7 × (2)³ - 2 × (2)² + 2 - K




=> 7 × 8 - 2 × 4 + 2 - K = 0



=> 56 - 8 + 2 - K = 0


=> 58 - 8 - K = 0


=> - K.= -50

=> K = 50

Answer 2

Factor=(x-2)
=x-2=0
=x=2
Put x=2
=7(2)^3-2(2)^2+x-k=0
=7×8-2×4+2-k=0
=56-8+2-k=0
=56-6-k=0
=50-k=0
=-k=-50
=k=50 ans.
Mark brainliest....