Give an example of a polynomial, which is :
(i) monomial of degree 1
(ii) binomial of degree 20
(iii) trinomial of degree 2
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 than one zero
(vi) The degree of the sum of two polynomials each of degree 5 is always 5.
Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example.
Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an
irrational number? Give an example in support of your answer.
The product of any two irrational numbers is
(A) always an irrational number
(B) always a rational number
(C) always an integer
(D) sometimes rational, sometimes irrational
Decimal representation of a rational number cannot be
(A) terminating
(B) non-terminating
(C) non-terminating repeating
(D) non-terminating non-repeating
Between two rational numbers
(A) there is no rational number
(B) there is exactly one rational number
(C) there are infinitely many rational numbers
(D) there are only rational numbers and no irrational numbers
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