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### Grade 7 - Mathematics4.13 Finding the Factors of a Trinomial That is a Perfect Square - I

 If a trinomial is a perfect square, then it must be the square of a binomial. Example: Factorise x2 + 6x + 9. Solution: x2 + 6x + 9 is written as x2 + 6x + 32 \ Two of the three terms are perfect squares. Öx2 = x and Ö32 = 3. Remaining terms = 2.x.3 = 2.Öx2.Ö32 The remaining terms is equal to the twice the product of the square roots of the two terms which are perfect squares. \ x2 + 6x + 9 = x2 + 2.x.3 + 32, is in the form of a2 + 2ab + b2. (x+3)2 = (x+3)(x+3) \ The factors of given trinomial are (x+3), (x+3) Directions: Find the factors of given trinomials and show your work. Also write at least ten examples of your own.
 Q 1: Factorise 225x2 + 270x + 49.(15x-7)(15x-7)(15x+7)(15x-7)(15x+7)(15x+7) Q 2: Factorise 64x2 + 80x + 25.(8x+5)(8x+5)(8x-5)(8x+5)(8x-5)(8x-5) Q 3: Factorise 25x2 + 30x + 9.(5x-3)(5x-3)(5x-3)(5x+3)(5x+3)(5x+3) Q 4: Factorise x2 + 2x + 1.(x+1)(x+1)(x+1)(x-1)(x-1)(x-1) Q 5: Factorise 36x2 + 60x + 25.(6x+5)(6x+5)(6x+5)(6x-5)(6x-5)(6x-5) Q 6: Factorise 4x2 + 4x + 1.(2x-1)(2x+1)(2x+1)(2x+1)(2x-1)(2x-1) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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