1. A polynomial containing two non zero terms is called?
  2. what degree root 3 have?
  3. what is the factor of polynomial 4x^2+y^2+4xy+8x+4y+4?
  4. what is a constant polynomial?
  5. Number of zeros a cubic polynomial has?

please give the answers

thank you

A polynomial containing two nonzero terms is called a binomial .For example :- (3+6x) , (x-5y)

As root 3 is a constant .Hence it is a polynomial of degree zero.

Factors of polynomial 
4x2+y2+4xy+8x+4y+4=(2x)2+(y)2+2×2x×y+8x+4y+4     =(2x+y)2+4(2x+y)+4          (a2+b2+2ab =(a+b)2  =(2x+y)2+2×(2x+y)×2+(2)2=(2x+y+2)2Hence factors are (2x+y+2)(2x+y+2)

A polynomial containing one term only ,consisting of a constant is called a constant polynomial .For example:- 3,-8 etc

A cubic polynomial has a maximum of three zeroes according to the fundamental theorem of algebra.
Hence we can say depending upon the cubic polynomial ,it may have 1 zero,2 zeroes and three zeroes but not more than three zeroes.

  • 3
What are you looking for?