Justify the following statements with examples: a) We can have a trinomial having degree 7. b) The degree of a binomial cannot be more than two. c) There is only one term of degree one in a monomial. d) A cubic polynomial always has degree three.

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Solution

Dear Student,

$(a) T r u e, e . g . x^{7} + 4 x^{2} + 3 x (b) F a l s e, e . g . x^{6} + 3 (c) T r u e, e . g . 7 x (d) T r u e, e . g . x^{3} + 3 x + 2$

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Q. Justify the following statement with examples :
A cubic polynomial always has degree three.

Question 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.

Q. "We can write a trinomial having degree

7

."
Justify the above statement by giving one example.

Q. Justify the following statement with examples :
The degree of a binomial can be more than two.

Give an example of a polynomial, which is:

(i) Monomial of degree 1.

(ii) Binomial of degree 20.

(iii) Trinomial of degree 2.

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Justify the following statements with examples: a) We can have a trinomial having degree 7. b) The degree of a binomial cannot be more than two. c) There is only one term of degree one in a monomial. d) A cubic polynomial always has degree three.

Dear Student, a True, e.g. x7+4x2+3xb False, e.g. x6+3c True, e.g. 7xd True, e.g. x3+3x+2 Regards

Dear Student,

$(a) T r u e, e . g . x^{7} + 4 x^{2} + 3 x (b) F a l s e, e . g . x^{6} + 3 (c) T r u e, e . g . 7 x (d) T r u e, e . g . x^{3} + 3 x + 2$

Regards