Question

find the value of k, if x-1 is a factor of p(x), if p(x)= kx^3-3x^2+5x+k

Answer 1

Answer:

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Step-by-step explanation:

→ x - 1  is a factor.

→ x - 1 = 0

→ x = 1

→ p(x) = kx³ - 3x² + 5x + k

→ p(1) = k(1)³ - 3(1)² + 5(1) + k

      =  k - 3 + 5 + k

      = k + k - 3 + 5

       = 2k + 2

→ 2k + 2 = 0

→ 2k = -2

→ k = -2/2

→ k = -1