Question

find the value of k, if x-3 is a factor of k^2x^3-x^2+3x+1

Answer 1

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Answer 2

p(x) = k²x³-x²+3x+1

f(x) = x-3 = 0

=> x = 3

given that f(x) is a factor of p(x)

=> p(3) =0

=> k²(3)³ -(3)²+3×3+1= 0

=> 27k² -9+9+1 = 0

=> k² = -1/27

=> k = √(-1/27)