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piyush N Grade:
        

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)

6 years ago

Answers : (1)

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.


 



























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Askiitians Expert


Sagar Singh


B.Tech, IIT Delhi


sagarsingh24.iitd@gmail.com


























6 years ago
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