Question

find the value of K for which (x-1) is a fator of the polynomial 4x^3+3x^2-4x+k.​

Answer 1

Answer:

$(x - 1) = 0 \\ x = 1 \\ now \\ p(x) = 4 {x}^{3} + 3 {x}^{2} - 4x + k \\ p(1) = 4 \times 1 \times 1 \times 1 + 3 \times 1 \times 1 - 4 \times 1 + k \\ \\ = 3 + k \\ k = - 3$