Q1 of 33 Page 32

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

(i)


(ii)


(iii)


(iv)


(v)

(i) There is only one variable x with whole number power so this polynomial in one variable

(ii) There is only one variable y with whole number power so this polynomial in one variable


(iii) There is only variable t but in 3 power of t is 1/2 which is not a whole number so 3 + t is not a polynomial


(iv) There is only one variable y but 2/y = 2y – 1 so the power is not a whole number so y + 2/y is not a polynomials


(v) There are three variable x, y and t and their powers are whole number so this polynomial in three variable


More from this chapter

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2

Write the coefficients of x2 in each of the following:

(i)


(ii)


(iii)


(iv)

3

Give one example each of a binomial of degree 35, and of a monomial of degree 100.

 4

Write the degree of each of the following polynomials:

(i)


(ii)


(iii)


(iv)

5

Classify the following as linear, quadratic and cubic polynomials:

(i) x2 + x


(ii) x – x3


(iii) y + y2 + 4


(iv) 1 + x


(v) 3t


(vi) r2


(vii) 7x3