Share
Notifications

View all notifications
Advertisement

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. - Mathematics

Login
Create free account


      Forgot password?

Question

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. 

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 `

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 8: Remainder and Factor Theorems
Exercise 8(B) | Q: 10 | Page no. 112
Advertisement
Solution 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. Concept: Factorising a Polynomial Completely After Obtaining One Factor by Factor Theorem.
Advertisement
View in app×