Question

If 2 is a factor of x⁴-x³-4x²+kx+10 find the value of k

Answer 1

Step-by-step explanation:

x⁴-x³-4x²+kx+10

Factor=2

2×2×2×2-2×2×2-4×2×2+2k+10

16-8-16+2k+10=0

2k=-2

K=-2/2

K = - 1

Hope this helps you ☺️

Answer 2

x^4 - x^3 - 4x^2 + kx + 10 = 0

x = 2 ( given)

2^4 - 2^3 - 4×2^2 + 2k + 10 = 0

16 - 8 - 16 + 2k + 10 = 0

2 + 2k = 0

2 ( 1 + k) = 0

1 + k = 0

k = -1