Question

if x-2 and x-1 are factors of the polynomial (x-1)(x^2-kx+2), find the value of k.

Answer 1

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Answer 2

Answer:

The answer is k= 3

Step-by-step explanation:

Since x-2 and x-1 are factors of the polynomial

(x-1)(x^2-kx+2)

So

x-2 is the factor of the polynomial (x^2-kx+2)

So

(2)^2 - 2k+2 =0

4-2k+2 = 0

2k = 6

k = 3