1. Factorising Quadratics
Key Words: Quadratic, Expand, Simplify, Term, Factorise
Mathswatch Clip 157
Corbett maths Video 118
Search Google for
Khan Academy Origins of Algebra
and watch the short video.
Write down ten facts from the video relating to the origins of algebra.
Your friend has missed this important lesson. Text them to tell them what they have missed and how you factorise.
𝑥 2 +5𝑥+6
Find all the factors of the number in
Which factors then combine to get
Factorising Quadratics
1. Factorise fully
2. Factorise fully
𝑥 2 +5𝑥+6
𝑥 2 +2𝑥−8
𝑥 2 +9𝑥+8
𝑥 2 +3𝑥−10
𝑥 2 +7𝑥+10
𝑥 2 +𝑥−6
1. Factorise fully
2𝑥 2 −10𝑥−28
4𝑥 2 −42𝑥+54
𝑥 2 +6𝑥+9
𝑥 2 −6𝑥−7
𝑥 2 +7𝑥+12
𝑥 2 −𝑥−12
3. Factorise fully
𝑥 2 −7𝑥+12
2. Find the lengths of the rectangle
𝑥 2 −8𝑥+15
𝑥 2 −8𝑥+12
Area =
𝑥 2 +8𝑥−33
𝑥 2 −6𝑥+9
𝑥 2 −20𝑥+36

2. Factorising Quadratics
Key Words: Quadratic, Expand, Simplify, Term, Factorise
Mathswatch Clip 157
Corbett maths Video 118
Search Google for
Khan Academy Origins of Algebra
and watch the short video.
Write down ten facts from the video relating to the origins of algebra.
Your friend has missed this important lesson. Text them to tell them what they have missed and how you factorise.
𝑥 2 +5𝑥+6
Find all the factors of the number in
Which factors then combine to get
Factorising Quadratics
1. Factorise fully
2. Factorise fully
𝑥 2 +5𝑥+6
+2 +3
+8 +1
+5 +2
+3 +3
+4 +3
+4 -2
+5 -2
+3 -2
+1 -7
+3 -4
𝑥 2 +2𝑥−8
𝑥 2 +9𝑥+8
𝑥 2 +3𝑥−10
𝑥 2 +7𝑥+10
𝑥 2 +𝑥−6
1. Factorise fully
2𝑥 2 −10𝑥−28
4𝑥 2 −42𝑥+54
𝑥 2 +6𝑥+9
𝑥 2 −6𝑥−7
2𝑥+4 𝑥−7
4𝑥−6 𝑥−9
𝑥 2 +7𝑥+12
𝑥 2 −𝑥−12
3. Factorise fully
-4 -3
-5 -3
-6 -2
-3 -3
-18 -2
𝑥 2 −7𝑥+12
2. Find the lengths of the rectangle
𝑥 2 −8𝑥+15
All answers in the form (x + a)(x + b)
𝑥 2 −8𝑥+12
Area =
𝑥 2 +8𝑥−33
𝑥 2 −6𝑥+9
𝑥 2 −20𝑥+36
(x + 11) & (x - 3)