Question

If k is constant, what is the value of k that hte polynomial k^2x^3-6kx 9 is divisible by x-1

Answer 1

Solve k²-6k+9=(k-3)²=0, so k=3. The polynomial becomes 9x³-18x+9=9(x³-2x+1)=9(x-1)(x²+x-1).