Book: RD Sharma - Mathematics
Chapter: 2. Polynomials
Subject: Maths - Class 10th
Q. No. 5 of Exercise 2.3
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
5
Obtain all zeros of the polynomial 
if two of its zeros are 
and 
.
We know that if 
is a zero of a polynomial then 
Since -√3 and √3 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.
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 2 and-2.
, if two of its zeros are 
and 
.
, if two of its zeros are 
and 
.
, if two of its zeros are 
and 
.
