Question 125

Match the expressions of column I with that of column II: Column I Column II (1) (21x + 13y)2

• (a)441x2 – 169y2 (2) (21x – 13y)2
• (b)441x2 + 169y2 + 546 xy (3) (21x – 13y) (21x + 13y)
• (c)441x2 + 169y2 – 546xy
• (d)441x2 – 169y2 + 546xy 1. Algebraic Tiles (i) Cut the following tiles from a graph sheet. Now, colour the tiles as per the colour code. Arrange these algebraic tiles to form a square. Find the length of the side of the square so formed. Also find the area of the square. Using the above result factorise x2 + 4x + 4. (ii) 2. Find the length of the side of the rectangle so formed. Also find the area of the rectangle. Using the above result factorise x2 + 5x + 4. Now choose and cut more algebraic tiles from the graph sheet. Create your own colour code and colour the tiles. Arrange them to form square/rectangle. Find the area of the figure so formed using it to factorise a) x2 + 4x + 3 b) x2 + 9x + 18 3. Build a square garden. Divide the square garden into four rectangular flower beds in such a way that each flower bed is as long as one side of the square. The perimeter of each flower bed is 40 m. (a) Draw a diagram to represent the above information. (b) Mention the expression for perimeter of the entire garden. Crossword Number Puzzle Solve the given crossword and then fill up the given boxes. Clues are given below for across as well as downward filling. Also for across and down clues clue number is written at the corner of boxes. Answers of clues have to be filled in their respective boxes. Down 1. A polynomial with two terms. 2. An expression containing one or more terms with non-zero coefficient (with variables having non-negative exponents). 3. To find the value of a mathematical expression. 4. A _________ is formed by the product of variables and constants. 5. The abbreviation of the greatest no. (or expression) that in a factor of two or more numbers. 6. A polynomial with three terms. Across 7. A polynomial with only one term. 8. An expression of the second degree. 9. Terms can be written as product of its _________. 10. The numbers –3, –2, –1, 0, 1, 2, 3 are known as _______. 11. __________ terms are formed from the same variables and the powers of these variables are the same term. 12. The highest power of a polynomial is called the _________ of the polynomial. Solution 1. Binomial 2. Polynomial 3. Evaluate 4. Term 5. GCF 6. Trinomial 7. Monomial 8. Quadratic 9. Factors 10. Integers 11. Like 12. Degree MATHEMATICS Rough Work