Question

The numbers x, y, z are in the geometric series and x + 1, y + 6, z + 3 are in the parallel series. If x + y + z = 26 then find the mother of x, y, z.​

Answer 1

Let p(x)=x3+kx2−2x+k+4

As x+k is a factor

∴p(−k)=0

p(−k)=−k3+k3+2k+k+4⇒3k+4

As 3k+4=0

∴k=3−4