Share

Books Shortlist

# 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. - ICSE Class 10 - Mathematics

ConceptFactorising a Polynomial Completely After Obtaining One Factor by Factor Theorem

#### 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?

#### APPEARS IN

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.
S