Q1 of 86 Page 32

Find the degree of each of the polynomials given below

(i) x5 - x4 + 3


(ii) x2 + x - 5


(iii) 5


(iv) 3x6 + 6y3 - 7


(v) 4 - y2


(vi) 5t - √3

Degree of p(x) is the highest power of x in p(x).


(i) The highest power of x in x5 - x4 + 3 is 5.


∴ The degree of x5 - x4 + 3 is 5.


(ii) The highest power of x in x2 + x - 5 is 2.


∴ The degree of x2 + x - 5 is 2.


(iii) The highest power of x in 5 is 0(∵ there is no term of x).


∴ The degree of 5 is 0.


(iv) The highest power of x in 3x6 + 6y3 - 7 is 6.


∴ The degree of 3x6 + 6y3 - 7 is 6.


(v) The highest power of y in 4 - y2 is 2.


∴ The degree of 4 - y2 is 2.


(vi) The highest power of t in 5t – √3 is 1.


∴ The degree of 5t – √3 is 1.


More from this chapter

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2

Which of the following expressions are polynomials in one variable and which are not? Give reasons for your answer.

(i) 3x2 - 2x + 5


(ii) x2 + √2


(iii) p2 - 3p + q


(iv)


(v)


(vi) x100 + y100

3

Write the coefficient of x3 in each of the following

(i) x3 + x + 1 (ii) 2 - x3 + x2


(iii) (iv) 2x3 + 5


(v) (vi)


(vii) 2x2 + 5 (vi) 4

 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.