Sum
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.
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Solution
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 `
`-81+9+66+15-k=0 `
`9-k=0`
`k=9 `
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