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

Let, f (x) = x⁴ -a2x2 + 3x - 6aSince, x + a is divided by f (x) so,f (-a) = 0(-a)⁴ - a2 (-a)2 + 3 (-a) - 6a = 0- 9a = 0a = 0

Q17 of 96 Page 6

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

Let, f (x) = x⁴ -a²x² + 3x - 6a

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

f (-a) = 0

(-a)⁴ - a² (-a)² + 3 (-a) - 6a = 0

- 9a = 0

a = 0

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

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

The value of k for which x-1 is a factor of 4x³+3x²-4x+k, is

If both x-2 and x are factors of px²+5x+r, then