Book: RD Sharma - Mathematics
Chapter: 2. Polynomials
Subject: Maths - Class 10th
Q. No. 9 of Exercise 2.3
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9
Find all the zeros of the polynomial 
, if two of its zeros are 2 and-2.
We know that if 
is a zero of a polynomial then 
Since -2 and 2 are zeros of 
Therefore 
and 
are factors of 
.
Now on dividing 
to find other zeros.
By applying division algorithm, we have:
= 
(
)
= 
(
)
= 
{
}
Hence, the zeros of the given polynomial are: 
, if two of its zeros are -2 and -1.
if one of its zeros is -2.
if two of its zeros are 
and 
.
it its two zeros are 
so that the resulting polynomial is exactly divisible by 
?
so that the resulting polynomial is exactly divisible by 
?
, if two of its zeros are 
and 
.
, if two of its zeros are 
and 
.
, if two of its zeros are 
and 
.
