If x51+51 is divide by x+1, the remainder is

Let, f(x) = x51 + 51Since, x + 1 is divided by f(x) so,f (-1)= (-1)51 + 51= - 1 + 51= 50Thus, remainder is 50

Q15 of 96 Page 6

If x⁵¹+51 is divide by x+1, the remainder is

Let, f(x) = x⁵¹ + 51

Since, x + 1 is divided by f(x) so,

f (-1)= (-1)⁵¹ + 51

= - 1 + 51

= 50

Thus, remainder is 50

If x²+x+1 is a factor of the polynomial 3x²+8x²+8x+3+5k, then the value of k is

If (3x-1)⁷ =a₇x⁷+a₆x⁶+a₅x⁵+….a₁x+a₀, then a₇+a₆+a₅+….+a₁+a₀=

If x+1 is a factor if the polynomial 2x²+kx, then k =

If x + a is a factor of x⁴-a²x²+3x-6a, then a =