The polynomial P(x) is cubic. What is the largest value of k for which the polynomials Q_{1}(x)=x^{2}+(k-29) x-k and Q_{2}(x)=2 x^{2}+(2 k-43) x+k are both factors of P(x) ?
The polynomial P(x) is cubic. What is the largest value of k for which the polynomials Q_{1}(x)=x^{2}+(k-29) x-k and Q_{2}(x)=2 x^{2}+(2 k-43) x+k are both factors of P(x) ?