Question

the number of cubic polynomials p(x) satisfying p(1)=2,p(2)=4,p(3)=6,p(4)=8is​

Answer 1

Answer:

let a cubic polynomial P(x)=ax3 + bx2+ Cx+d now, p(1)= a+b+c+d=2------(1) P(2)=8a+4b+2C+d=4-----(2) PC3)=27atgh