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)

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.

Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

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