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### Grade 7 - Mathematics4.23 Finding the Factors of a Trinomial That is a Perfect Square - II

 Example: Factorise 9x2-24x+16. Solution: Given that 9x2-24x+16, = (3x)2 - 24x + 42 = (3x)2 - 2.3x.4 + 42 This is the form of a2 - 2ab + b2. =(3x-4)2 = (3x-4)(3x-4) \Factors of the given trinomials are (3x-4)(3x-4). Directions: Find the factors of given trinomials. and show your work. Also write at least ten examples of your own.
 Q 1: Factorise 25x2 - 40x + 16.(5x+4)(5x-4)(5x+4)(5x+4)(5x-4)(5x-4) Q 2: Factorise 81x2 - 18x + 1.(9x-1)(9x-1)(9x+1)(9x-1)(9x+1)(9x+1) Q 3: Factorise 81x2 - 90x + 25.(9x+5)(9x-5)(9x-5)(9x-5)(9x+5)(9x+5) Q 4: Factorise 36x2 - 24x + 4.(6x+2)(6x+2)(6x-2)(6x+2)(6x-2)(6x-2) Q 5: Factorise x2 - 18x + 81.(x-9)(x-9)(x+9)(x-9)(x+9)(x+9) Q 6: Factorise x2 - 2x + 1.(x+1)(x-1)(x+1)(x+1)(x-1)(x-1) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!