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

Let f (x) = x3 - 3x2a + 2a2x + bSince, x - a is a factor of f(x)So, f (a) = 0a3- 3 a2 (a) + 2a2 (a) + b = 0a3 - 3a3 + 2a3 + b= 0b = 0

Q3 of 96 Page 6

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

Let f (x) = x³ - 3x²a + 2a²x + b

Since, x - a is a factor of f(x)

So, f (a) = 0

a³- 3 a² (a) + 2a² (a) + b = 0

a³ - 3a³ + 2a³ + b= 0

b = 0

If x-2 is factor of x²-3ax-2a, then a =

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

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

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