Question

find the value of k if f of x is equal to 2 x power 4 - kx cube + 3 X square + 3 x minus 2 is exactly divisible by x minus 1​

Answer 1

f(x)= 2x⁴-kx³+3x²+3x-2

f(1)= 2(1)⁴-k(1)³+3(1)²+3(1)-2

f(1)= 2- k +3 + 3 - 2

f(1)= -k + 6

f(1)= -6 + 6

f(1)= 0

So,

k= -6