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1 The denominator of a cubic polynomial with zeroes -2,1 and 4 is

(x+2)(x+1)(x+4) (x+2)(x-1)(x-4) (x+2)(x-1) none

2 The lowest form of the rational expression (2x³-8x)/[(x+2)(x-2)] is

2x 2x² (2x+1) (2x-4)

3 "The sum of two rational expressions is also a rational expression" is defined by

Commutative law Associative law Closure property none

4 The additive identity is

1/0 0 1 none

5 The additive inverse of (a²-1)/(a²+1) is

1+a²/(1-a²) a²+1/(a²-1) 1/(a²+1) (1-a²)/(1+a²)

6 The sum and product of two polynomials is

Commutative Associative Additive identity Additive inverse

7 The integer working as multiplicative identity is

0 -1 1

8 Rational expressions relate to rational numbers in the following way

not equal to each other analogous to each other equal to each other no relation

9 Polynomials behave like

Rational expressions Quadratic equations Linear equations Integers

10 (x²-4)/(8x²-8Ö2 + 1) is not a rational expression since one of the following is not a polynomial.

numerator numerator and denominator denominator none

11 Every polynomial z(y) can be regarded as a

rational integer linear polynomial rational expression none

12 To show the sum of numbers of same type the symbol used is

a å s b

13 The method used for factorisation of cyclic order expression is

Factor theorem completing squares Linear factors none of the above

14 The reduced form of (24a³b⁵c⁴)/(48a²b⁸c⁶) is

2a/(3bc) (1/2a)/(b³c²) 2ab²c³ 1/2(a²b³c²)

15 Addition of integers results in an / is

irrational integer rational integer commutative associative

16 Every non-zero rational number has a / an

additive identity inverse additive reciprocal none of the above

17 5x+2+[x/(6x²-9)] is a

rational expression polynomial integer mixed expression

18 The lowest form of (x³-8)/(x²-4) is

x-2/(x-4) (x²-4)/(x²-2) (x²+2x+4)/(x+2) x/2

19 (1-Öx)/(1+Öx) is of the following type

rational expression irrational expression polynomial none of the above

20 The additive inverse of S(x)/t(x) is

t(x)/S(x) t(x)/(-Sx) [-S(x)]/t(x) S(x)/[-(-t(x)]

21 An expression whose numerator is of less degree than the denominator is called

improper rational expression proper rational expression mixed rational expression irrational expression

22 Which of the following are rational expression

(x²-1)/(2Öx ) (x³-3x²+2)/(x²) (x³-3x²)/(2x+3) none of the above

23 Multiplication of rational numbers is

commutative associative ) commutative & associative none

24 For rational expression m/n ,

n is not equal to 0 n = 0 n >0 n < 0

25 (r+s)² = (r+s)(r+s) - by definition of square.Now (r+s)(r+s) = r(r+s) + s(r+s) is by which law?

Associative law Commutative law Distributive law

26 a/b and c/d are two rational numbers then we define their product as

(bd)/(ac) 1/(ac) x 1/(bd) 1/(ac) x (bd)/1 (ac)/(bd)

27 Reduce (x²-6x+8)/(x²-5x+6) in lowest terms

(x-4)/(x-3) (x-2)/(x-3) (x-3)/(x+4) none of the above

28 Sum of (x²+1)/(x+3) and (x²-3)/([-(-x-3) is

(x+6)/(x-3) (2x²-2)/(x+3) (2x²+4)/(x-3) (2x+3)/(2x-4)

29 The substraction of (a+1)/(a+2) from (a+2)/(a+3) will give

1/(a²) +5a +6 1/(a²)+6 1/[(a+2)(a+3)] none

30 Multiplication of (x²-y²)/(x²+2xy+y²) and (xy+y²)/(x²-xy) will

x/y 2xy y/x xy

31 A rational expression is in its lowest terms if

it has no denominator there is no factor common it has 2 factors in common All of the above.

32 In algebra when one monomial is divided by another monomial we get,

a monomial integer polynomial a rational expression

33 As division by zero is not defined, we assume that denominators in rational expressions are

zeroes ones non-zeroes none

34 If Q is the denominator in P/Q what is S in R/S?

inverse reciprocal identity denominator

35 Cyclic expressions are also written using the notation

sigma gamma epsilon none

36 Factorisation of [(x+y+z)(xy+yz+zx) - (xyz)] gives

(x-y)(y-z)(z-x) (x+y)(y+z)(z+x) (x+y)zx (x+y)(y-z)

37 The product of any rational expression with the zero rational expression is

proper rational expression improper rational expression zero rational expression none of the above

38 We get expression in its lowest form by cancelling

common factor H.C.F of numerator and denominator H.C.F of numerator none of the above

39 By simplifying 1/[(a-b)(a-c)] + 1/[(b-c)(b-a)] + 1/[(c-a)(c-b)] we get

1 1/[(a-b)(a-c)(b-c)) 0 1/(a-b-c)

40 Subtracting 3a+2b/(a-b) from 2a+3b/(a-b) we get

1 2 0 -1