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Grade: 12

                        

Cannot understand the explanation given for Example 93.What is the principle for questions of this nature?

Cannot understand the explanation given for Example 93.What is the principle for questions of this nature?

one year ago

Answers : (3)

Arun
25768 Points
							
Dear student
 
Please attach clear image. I will be happy to help you.
 
Hope you understand.
 
Regards
Arun
one year ago
Vikas TU
14136 Points
							
Dear student 
Please specify that what is x-3 is it a polynomial given in some linked question ? 
We will help …..................
Good Luck 
one year ago
Aditya Gupta
2075 Points
							
both answers above are trash. the correct explanation is ;
let g(x)= p(x) – 1.
now, g(3)= p(3) – 1= 1 – 1
or g(3)= 0. hence by factor theorem x – 3 is a factor of g(x) or in other words x – 3 divides g(x).
so, g(x)= (x – 3)*q(x) where q is another polynomial.
or p(x) – 1 = (x – 3)*q(x) or p(x)= 1 + (x – 3)*q(x). Since p has integer coeffs, q should also have integer coeffs.
now put x= 1 on both sides of this identity
p(1) – 1= (1 – 3)*q(1)
or 2 – 1= – 2q(1)
or q(1)= – ½ which is not possible since q had all integer coeffs and 1 is also an integer hence q(1) needs to be an integer as well.
kindly approve :))
one year ago
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