Find the number that must be subtracted from the polynomial 3y3 + y2 – 22y + 15, so that the resulting polynomial is completely divisible by y + 3.
Let the number to be subtracted from the given polynomial be k
let` f(y)=3y^3+y^2-22y+15-k `
it is given that f(y) is divisible by` (y+3) `
Remainder=`f(-3) =0 `
`3(-3)^3+(-3)^2-22(-3) +15-k=0 `