The polynomial
M ( x ) = x^3 + 5x^2 + 4kx - 13 ,
When divided by ( x + 3 ) , leaves a remainder 11.
The value of k is __________
Answers
Answered by
2
p(x) = x³ + 5x² + 4kx - 13
When divided by (x + 3) , leaves a remainder 11
==> p(-3) = 11
==> (-3)³ + 5(-3)² + 4k(-3) - 13 = 11
==> -27 + 45 - 12k - 13 = 11
==> 5 - 12k = 11
==> -12k = 6
==> k = -6/12
==> k = -1/2
Hence, value of k is -1/2
Similar questions