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```        Pls. help me to solve :
A polynomial p(x) when divded by (x-1) leaves the remainder 2, the same poly, when divided by x-3, leaves the remainder 1. Find the remainder when the same polynomial is divided by (x-1)(x-3)```
7 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,
Take this hint:
If you have a polynomial equation, put all terms on one side and 0 on the other. And whether it’s a factoring problem or an equation to solve, put your polynomial in standard form, from highest to lowest power.
For instance, you cannot solve this equation in this form:
x³ + 6x² + 12x = −8
You must change it to this form:
x³ + 6x² + 12x + 8 = 0
Also make sure you have simplified, by factoring out any common factors. This may include factoring out a −1 so that the highest power has a positive coefficient. Example: to factor
7 − 6x − 15x² − 2x³
begin by putting it in standard form:
−2x³ − 15x² − 6x + 7
and then factor out the −1
−(2x³ + 15x² + 6x − 7) or (−1)(2x³ + 15x² + 6x − 7)
If you’re solving an equation, you can throw away any common constant factor. But if you’re factoring a polynomial, you must keep the common factor.

All the best.
Win exciting gifts by                                                              answering   the           questions    on            Discussion        Forum.    So           help                 discuss         any                query     on             askiitians       forum    and         become  an         Elite                 Expert       League                askiitian.

Sagar Singh
B.Tech, IIT Delhi
sagarsingh24.iitd@gmail.com

```
7 years ago
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