write whether the following statements are true or false , justify Your answer. (i) A binomial can have atmost two terms. (ii) Every polynomial is a Binomial . (iii) A binomial may have degree 5. (iv) zero of a polynomial is always 0. (V) A polynomial cannot have more then one zero. (vi ) the degree of the sum of tum polynomals each of degree 5 is wlways . 5

write whether the following statements are true or false , justify You

1.	write whether the following statements are true or false , justify Your answer. (i) A binomial can have atmost two terms. (ii) Every polynomial is a Binomial . (iii) A binomial may have degree 5. (iv) zero of a polynomial is always 0. (V) A polynomial cannot have more then one zero. (vi ) the degree of the sum of tum polynomals each of degree 5 is wlways . 5
Answer» (i) Faise because a binomial has ecactly two terms . (ii) Faise because every polynomial is not binomial e.g., (a) `3x ^(2) +4x+5 " " ["polynomial but not a binomial"]` `(b) 3x^(2)+5 " " ["polynomial and also a binomial "]` (iii) True , because a binomial is a polynomial whose degree is a whole number greater than equal to one , so ,it may have degree 5. (iv) False , because zero of a polynomial can be any real number e.g., p(x) =x-2, then 2 is zero of polynomial p(x). (v) False because a polynomial can have any number of zeroes . it depends upon the degree of the polynomial e.g., p(x) `=x^(2)-2` ,as degree pf p(x) is 2 ,so it has two degree ,so it has two zeros i.e `sqrt(2)` and `-sqrt(2)` (vii) False because the sum of any two polynomials of same degree is not always same degree . e.g., Let (x) `=x^(4)+2 and g(x)=-x^(4)+2x` `therefore ` Sum of two polynomals, ` f(x)+g(x)=x^(4)+2+(-x^(4)+4x^(3)+2x)` ` =4x^(3)+2x+2` which is not polynomals of degree 4.