Shri Rengha Vidyalaya Higher Secondary School, Rayarpalayam Class : IX Name: Diagnostic Test – Algebra
Subject – Mathematics Marks – 20
1. An algebraic expression of the form axn is called a _________.
2. __________ is the father of algebra. 3. Symbols in an algebraic expression are called __________ of the expression. 4. The polynomial 3x3 – 4x2 + 2x – 7 is in the _____________ form.
5. A second degree polynomial is called a _________ polynomial. 6. 2x – 5y – 7 is a __________. 7. To find the multiplication or product of two polynomials, we use the ________ properties. 8. Find the sum and write it in the standard form (x3 + 3x – 1) + ( 2x2 – 4x +5) 9. Find the subtraction and write it in the standard form (x2 – 4x +4) ( 1 – x2 ) 10. Find the coefficient of x2 and x (without doing actual multiplication)
(1 + 3x – x2 ) ( – 2 – x2 ) 11. Algebraic identity for (x – a) (x – b) is ___________. 12. Find the value of (a + b + c) 2 = __________ 13. Algebraic identity for (a + b) (a – b) is __________.
14.Using the product formula, find (t – 2) (t + 6) ___________. 15. The process of writing a polynomial as a product of 2 or simpler polynomials is
called ___________. 16. Find a common factor for 4a3 – 8a2 +16a ____________. 17. Factorize 9 + 6x + x2 ____________.
18.Algebraic identity for (x + a) (x + b) (x +c) is ____________. 19. Factorize 15 – 2x – x2 ___________. 20. a3 – b3 = ____________