Algebric Expressions


1. The set of numbers whose elements can be replaced by a variable �x� is called a ____________set.



2. A constant number which is multiplied with a variable is called ____________ of that variable.



3. In 4x2, 2 is called ____________ of the variable x.



4. The different parts of an algebraic expression joined by the operations of addition or subtraction are called ____________ of an algebraic expression.



5. If all the coefficients in a polynomial are zero then the polynomial is called the _____________ polynomial.



6. A polynomial having degree 1 is called ________________ polynomial.



7. An expression of the form P(x), where P(x) and Q(x) are ¹ 0 is called a ___________ expression. Q(x).



8. If a polynomial has only one term, it is called a _______________.



9. If P(x) = 3x2-3x - 6, then P(2) = _______________.



10. If X = 2a3 - 3a2 -2a + 2, then 3X = _____________________.



11. If the sign of two terms, which are to be multiplied, is negative, then sign of their product is ________________.


12. If P(x) is exactly divisible by x-a, then x = a is called __________ of the polynomial P(x).



13. When one expression is exactly divisible by another, the remainder is ____________.



14. (a + b) (a2 -ab +b2) = ___________________.



15. Degree of 4x3y2 + 5y4 + 5x4 is _________________.




16. If x + 1/x = -1, then x2 + 1/x2 = ____________________.



17. When a polynomial P(x) is exactly divided by another polynomial Q(x), then Q(x) is called a __________ of (P(x)



18. The product of two polynomial is a polynomial whose degree is equal to the ______________ of the degrees of two polynomial.



19. If the sum of two polynomials is zero then they are called ______________ of each other.



20. 3x - 2y + 4 is a polynomial with coefficient as _______________ numbers.



21. A polynomial of degree 2 is called _______________ polynomial.



22. In irrational expressions, the exponents of the variables are ______________.



23. Öx _ 1/Öx is a polynomial.


24. Every polynomial is a rational expression.


25. The expression 8x3- 7x2 + 5x - 7 is written in decending order.


26. A polynomial consisting of two terms is called a Trinomial


27. The degree of 6x3 + y3 + 3x7y + xy2 is 7.


28. x2y is a polynomial in two variables.


29. Division is the reverse process of multiplication.


30. The sign of the terms is not changed when subtracted.


31. (x-3) is a factor of polynomial (x2-5x+6).


32. If x3+x2-2 is divided by �x-1� then remainder is 1.


33. (a+b)2 = (a-b)2 + 4ab


34. The product of 6x3 and -5x4 is -30x7


35. If P=3x2-2x and Q=4x2-3 then P-Q= x2+2x-3.


36. If X= a+b, Y= a-b then XY= a2 - b2


37. The additive inverse of x + y is x - y.


38. 5x3 + 7x2 +3 is a cubic polynomial.


39. A quantity which remains same through out the problem is called constant.


40. In 5x3+6x3y2+2xy, the coefficient of the term of highest degree is 5.


41. 6x4y2 = 2x2y2 3x2y4

42. The product of (Öx + Öy) and (Öx - Öy) is (x-y)


43. Every polynomial is a rational expression but every rational expression is not a polynomial expression.


44. An expression consisting of two or more than two terms is called a __________ expression.




45. The degree of 5x3yz5 is ____________.





46. x3+x/y + x + y2/x +y is ________________.





47. x2y2+y2+yz+a is a polynomial of ______________ variable.




48. Ö3 x2 - x + 7 is a polynomial with coefficients as ___________ numbers.




49. If a+b = 5, a-b=3 then 4ab= ________________.




50. An algebraic expression consisting of one or more terms, in each of which exponent of variable is zero or positive integer, it is called _______________.




51. If a=1, b=1, c=2 then the value of 3a2+2b2+c /2 is _______________.





52. If a+b=3, a-b=2 then a2-b2= _____________




53. The expression xy + y2z /x + xz + 4 is ______________.





54. What will be added to complete the square of y2+16 is _______________.





55. If a /d x + b /c= 0, then x = _____________





56. According to _______________, ab = ba.



57. If (x-1) is a factor of (x3 + x2 - 10x + 8) then remainder is ________.



58. (6-Ö 2) (6 +Ö 2) = _____________.



59. If x+y = 3, xy=2 then x2 + y2




60. 24 = ________________.



61. (x+2) (x-3) = _________________.



62. If product of two polynomial is x2 - 5x + 6 and one polynomial is x-2, then other is __________.



63. If X = a2-b2, Y= a2+b2 then 2xy = ________________



64. 3x2




65. 1 /Öx+2




66. x2+1/ x




67. 3x+4




68. x2+yz




69. a3+b3+c3-3abc




70. (a+b+c) 2




71. (a+b) (a-b) (a2+b2)




72. (a-b) 2




73. a3+b3




74. 3x




75. x+1/x2




76. 9y+3x+4




77. Öy + 1/ Öy




78. 6x3+y3+3x7y-xy2




79. (xy � 1 ) (x2y2+1+ 1/ xy ) x2y2




80. x + 1/x = 2




81. (x+8) (x+1)




82. (-8x5) �(-4x3)




83. x+1/ x = 3







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