Find the number of irrational roots of the equation (x-1)(x-2)(3x+1)(3x-2)=21
Asked by samiddhamukherjee | 25th Sep, 2010, 01:21: PM
the given polynomial after multiplying becomes
the possible rational zeroes can be found as follows
if p/q is a rational zero of the polynomial, (p and q are coprimes)
p divides 25
q divides 9
so possible values of p are
possible values of q are
now form possible values of the rational roots
1,-1,1/3, -1/3 etc
try factor theorem for them.
[if p(a) =0, then a is a factor of p(x)]
this way you will get how many rational roots are there.
divide y the product of those rational roots to the polynomial , then factorise the quotient so obtained.
then you will get the answer.
Answered by | 27th Sep, 2010, 08:42: PM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number