Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days


Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number


Mon to Sat - 11 AM to 8 PM

how to find the other two zeroes if two of them are already given for a 4 degree polynomial. example me with the help of an unique example. thanks

Asked by Lochan Khatri 21st September 2013, 4:53 PM
Answered by Expert
Suppose a and b are roots of a fourth degree polynomial.
Then, (x - a) and (x - b) will be the factors of the polynomial and hence, (x-a)(x-b) will be a factor of the polynomial.
Now, to find the other two factors, divide the polynomial with (x-a)(x-b) = x2 - x(a+b) + ab. You will get 0 as the remainder and the quotient will be a second degree polynomial.
By division algorithm,
p(x) = q(x) (x-a)(x-b) 
Hence, the roots of q(x) will be the remaining two roots of the fourth degree polynomial.
Example: If two of the zeroes of the polynomial p(x) = 5x4 - 5x3 - 33x2 + 3x + 18 are, find the other two zeroes.

Answered by Expert 22nd September 2013, 3:42 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp