Question

19. If (x⁴⁴+2x⁴¹+k) is divisible by (x+1),then the value of k is​

Answer 1

Answer:

put x + 1 = 0.

then x = -1

p(x) = x⁴⁴ + 2x⁴¹ + k

replace x by -1 and equate to zero

(-1)⁴⁴ + 2(-1)⁴¹ + k = 0

1 + 2(-1) + k = 0

1 - 2 + k = 0

-1 + k = 0

therefore k = 1

[ (-1) ⁿ = 1 if n is even and (-1)ⁿ = -1 if n is odd ]