If x140+2x151 +k is divisible by x+1, then the value of k is

Let f (x) = x140 + 2x151 + kSince, x+1 is a factor of f (x)So, f (-1) = 0(-1)140 + 2(-1)151 +k = 01 - 2 + k=0k = 1

Q4 of 96 Page 6

If x¹⁴⁰+2x¹⁵¹ +k is divisible by x+1, then the value of k is

Let f (x) = x¹⁴⁰ + 2x¹⁵¹ + k

Since, x+1 is a factor of f (x)

So, f (-1) = 0

(-1)¹⁴⁰ + 2(-1)¹⁵¹ +k = 0

1 - 2 + k=0

k = 1

If x³+6x²+4x+k is exactly divisible by x+2, then k =

If x-a is a factor of x³-3x²a+2a²x+b, then the value of b is

If x+2and x-1 are the factors of x³+10x²+mx+n, then the value of m and n are respectively

Let f(x) be a polynomial such that f = 0, then a factor of f(x) is