IPMAT IndoreAlgebra > Medium0284✅ Correct Option: 3Related questions:IPMAT Indore 2025Let P(x)P(x)P(x) be a quadratic polynomial such that ∣P(0)P(1)P(0)P(2)∣=0\left|\begin{array}{ll} P(0) & P(1) \\ P(0) & P(2) \end{array}\right|=0P(0)P(0)P(1)P(2)=0 Let P(0)=2P(0)=2P(0)=2 and P(1)+P(2)+P(3)=14P(1)+P(2)+P(3)=14P(1)+P(2)+P(3)=14. Then P(4)P(4)P(4) equalsIPMAT Indore 2025If 8x2−2kx+k=08x^2 - 2kx + k = 08x2−2kx+k=0 is a quadratic equation in xxx, such that one of its roots is ppp times the other, and p,kp, kp,k are positive real numbers, then kkk equalsIPMAT Indore 2024The number of real solutions of the equation (x2−15x+55)x2−5x+6=1(x^2 - 15x + 55)^{x^2-5x+6} = 1(x2−15x+55)x2−5x+6=1 is: