Question

if 3x+1 is factor of 12x^3-2x^2+kx+1 find k

Answer 1

x = -1/3

12(-1/3)^3 - 2(-1/3)^2 +k(-1/3) + 1 = 0

12(-1/27) - 2(1/9) -k/3 +1 = 0

-4/9 -2/9 -3k/9 + 9/9 = 0

3 - 3k = 0

k= 1

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