Mr Daniels Maths
Factorising Mixed Brackets

Set 1

Set 2

Set 3

Q1) Factorise the following;
4x + 16 = [ 4(x + 4)]

Q1) Factorise \(x^2 + 11x + 24\). [ \((x + 3)(x + 8)\)]

Q1) Factorise \(x^2 + 2x -8\). [ \((x + 4)(x -2)\)]

Q2) Factorise the following;
3z + 21 = [ 3(z + 7)]

Q2) Factorise \(x^2 + 8x + 15\). [ \((x + 3)(x + 5)\)]

Q2) Factorise \(x^2 -6x -40\). [ \((x + 4)(x -10)\)]

Q3) Factorise the following;
2y + 14 = [ 2(y + 7)]

Q3) Factorise \(x^2 + 14x + 49\). [ \((x + 7)(x + 7)\)]

Q3) Factorise \(x^2 + 8x -20\). [ \((x + 10)(x -2)\)]

Q4) Factorise the following;
4y + 28 = [ 4(y + 7)]

Q4) Factorise \(x^2 + 11x + 28\). [ \((x + 4)(x + 7)\)]

Q4) Factorise \(x^2 + 4x -12\). [ \((x + 6)(x -2)\)]

Q5) Factorise the following;
6w + 42 = [ 6(w + 7)]

Q5) Factorise \(x^2 + 12x + 27\). [ \((x + 3)(x + 9)\)]

Q5) Factorise \(x^2 -4x -12\). [ \((x + 2)(x -6)\)]

Q6) Factorise the following;
7z + 35 = [ 7(z + 5)]

Q6) Factorise \(x^2 + 10x + 16\). [ \((x + 2)(x + 8)\)]

Q6) Factorise \(x^2 -5x -14\). [ \((x + 2)(x -7)\)]

Q7) Factorise the following;
10y + 90 = [ 10(y + 9)]

Q7) Factorise \(x^2 + 9x + 18\). [ \((x + 3)(x + 6)\)]

Q7) Factorise \(x^2 -6x -40\). [ \((x + 4)(x -10)\)]

Q8) Factorise the following;
8z + 8 = [ 8(z + 1)]

Q8) Factorise \(x^2 + 9x + 20\). [ \((x + 4)(x + 5)\)]

Q8) Factorise \(x^2 + x -12\). [ \((x + 4)(x -3)\)]

Q9) Factorise the following;
4x + 8 = [ 4(x + 2)]

Q9) Factorise \(x^2 + 10x + 16\). [ \((x + 2)(x + 8)\)]

Q9) Factorise \(x^2 -2x -35\). [ \((x + 5)(x -7)\)]

Q10) Factorise the following;
3x + 27 = [ 3(x + 9)]

Q10) Factorise \(x^2 + 11x + 10\). [ \((x + 10)(x + 1)\)]

Q10) Factorise \(x^2 -x -20\). [ \((x + 4)(x -5)\)]