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Mathsercise-C

Practice quadratics by finding common factors, factorising, and expanding brackets with various equations. Master algebraic manipulation skills here.

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Mathsercise-C

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  1. Mathsercise-C Quadratics Ready? Here we go!

  2. Find the common factors in all the terms Factorise………. a) x2 + 2x x (x + 2) Question 2 y (y – 6) b) y2 – 6y 4x (2x – 5y) c) 8x2 – 20xy Answer 1 Quadratics

  3. Expand these brackets………. a) 7(x + 3) 7x + 21 Question 3 x2 + 3x b) x(x + 3) Answer 6y2 – 10y c) 2y(3y – 5) Remember to multiply out both terms! 2 Quadratics

  4. Expand these brackets………. a) (x + 1)(x + 3) x2 + 3x + 1x + 3 Question 4 x2 + 4x + 3 b) (x – 6)(x + 2) x2 + 2x - 6x - 12 You should get 4 terms when you multiply out the brackets! x2 - 4x - 12 Answer c) (x – 4)(x + 7) x2 + 7x - 4x - 28 x2 + 3x - 28 3 Quadratics

  5. This means separate into two brackets! Factorise………. (x + 1)(x + 2) a) x2 + 3x + 2 (x + 3)(x + 4) b) x2 + 7x + 12 c) x2 + 2x - 15 (x + 3)(x - 5) d) x2 - 2x - 35 (x + 5)(x - 7) Start The number values in each set of brackets must multiply together to make the 3rd term in the quadratic, and must add together to make the number of x’s in the 2nd term! Answer 4 Quadratics

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