Mr Daniels Maths
Factorising Mixed Brackets

Set 1

Set 2

Set 3

Q1) Factorise the following;
10z + 40 = [ 10(z + 4)]

Q1) Factorise \(x^2 + 14x + 40\). [ \((x + 4)(x + 10)\)]

Q1) Factorise \(x^2 + x -12\). [ \((x + 4)(x -3)\)]

Q2) Factorise the following;
5y + 40 = [ 5(y + 8)]

Q2) Factorise \(x^2 + 15x + 54\). [ \((x + 9)(x + 6)\)]

Q2) Factorise \(x^2 + 3x -18\). [ \((x + 6)(x -3)\)]

Q3) Factorise the following;
4y + 28 = [ 4(y + 7)]

Q3) Factorise \(x^2 + 10x + 9\). [ \((x + 9)(x + 1)\)]

Q3) Factorise \(x^2 -4x -12\). [ \((x + 2)(x -6)\)]

Q4) Factorise the following;
7x + 56 = [ 7(x + 8)]

Q4) Factorise \(x^2 + 15x + 50\). [ \((x + 5)(x + 10)\)]

Q4) Factorise \(x^2 -3x -28\). [ \((x + 4)(x -7)\)]

Q5) Factorise the following;
9z + 9 = [ 9(z + 1)]

Q5) Factorise \(x^2 + 7x + 6\). [ \((x + 1)(x + 6)\)]

Q5) Factorise \(x^2 -4x -45\). [ \((x + 5)(x -9)\)]

Q6) Factorise the following;
10x + 90 = [ 10(x + 9)]

Q6) Factorise \(x^2 + 11x + 28\). [ \((x + 4)(x + 7)\)]

Q6) Factorise \(x^2 -2x -8\). [ \((x + 2)(x -4)\)]

Q7) Factorise the following;
6y + 24 = [ 6(y + 4)]

Q7) Factorise \(x^2 + 19x + 90\). [ \((x + 9)(x + 10)\)]

Q7) Factorise \(x^2 + x -6\). [ \((x + 3)(x -2)\)]

Q8) Factorise the following;
4z + 4 = [ 4(z + 1)]

Q8) Factorise \(x^2 + 13x + 40\). [ \((x + 5)(x + 8)\)]

Q8) Factorise \(x^2 -x -20\). [ \((x + 4)(x -5)\)]

Q9) Factorise the following;
2w + 4 = [ 2(w + 2)]

Q9) Factorise \(x^2 + 6x + 9\). [ \((x + 3)(x + 3)\)]

Q9) Factorise \(x^2 + 3x -10\). [ \((x + 5)(x -2)\)]

Q10) Factorise the following;
3w + 12 = [ 3(w + 4)]

Q10) Factorise \(x^2 + 16x + 63\). [ \((x + 9)(x + 7)\)]

Q10) Factorise \(x^2 -x -6\). [ \((x + 2)(x -3)\)]