# What Number Should Be Added to 3x3 – 5x2 + 6x So that When Resulting Polynomial is Divided by X – 3, the Remainder is 8? - Mathematics

Sum

What number should be added to 3x3 – 5x2 + 6x so that when resulting polynomial is divided by x – 3, the remainder is 8?

#### Solution

Let the numbw-er k be added and resulting polnomic be f(x).

So, f(x) =3x^3+5x^2+6x+k

it is given that when f(x)is dividing by (x-3), the remainder is 8.

∴ f(3)=8

3(3)^3-5(3)^2+6(3)+k=8

81-45+18+k=8

54+k=8

k=-46

Thus, the required number is  -46.

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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 8 Remainder and Factor Theorems
Exercise 8 (A) | Q 13 | Page 109