Q6 of 86 Page 32

Give one example each of a monomial and trinomial of degree 10.

A monomial is a polynomial which has only one term, and the degree is the highest power of the variable. Therefore, an example of a monomial of degree 10 is 3x10.


A trinomial is a polynomial which has three terms, and the degree is the highest power of the variable. Therefore, example of a trinomial of degree 10 is 3x10 + 2x2 + 5.


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4

Classify the following as linear, quadratic and cubic polynomials

(i) 5x2 + x - 7 (ii) x - x3


(iii) x2 + x + 4 (iv) x - 1


(v) 3p (vi) πr2

 5

Write whether the following statements are True or False. Justify your answer

(i) A binomial can have at the most two terms


(ii) Every polynomial is a binomial


(iii) A binomial may have degree 3


(iv) Degree of zero polynomial is zero


(v) The degree of x2 + 2xy + y2 is 2


(vi) πr2 is monomial.

 1

Find the value of the polynomial 4x2 - 5x + 3, when

(i) x = 0 (ii) x = -1


(iii) x = 2 (iv)

2

Find p(0), p(1) and p(2) for each of the following polynomials.

p(x) = x2 - x +1