Question

find the value of k in the polynomial Fx = 5 x ^ 4 - 3x^2 + 2 X + K if (x-1)is a factor of F(x)?​

Answer 1

As (x-1) is a factor of f(x), then by factor theorem, f(1) should be equal to 0.

Hence, reqd. equation

$= > f(1) = 0 \\ = > 5 {(1)}^{4} - 3 {(1)}^{2} + 2x + k = 0 \\ = > 5 - 3 + 2 + k = 0 \\ = > 0 + k = 0 \\ = > k = 0$

Therefore, k = 0.

HOPE THIS COULD HELP!!!