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

Q13 of 96 Page 6

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

Let, p (x) = 3x³ + 8 (x)² + 8x + 3 + 5k

g (x) = x² + x + 1

Given g (x) is a factor of p (x) so remainder will be 0

Remainder= -2 + 5k

Therefore, -2 + 5k = 0

k = 2/5

If x+2 is a factor of x²+mx+14, then m =

If x -3 is a factor of x²-ax-15, then a =

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

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