1. Literacy Research Memory Skill Practice Stretch
Factorise
Expression
How do you factorise
x² + 7x + 10?
Example:
Factorise 8x³ + 4x²
HCF = 4x²
8x³÷ 4x² = 2x
4x²÷ 4x² = 1
4x²(2x + 1)
Skill Practice
Factorise the following:
4x² + 12x
6y² + 15y
21p² - 49p
18 – 12n²
10 – 50t³
2) Factorise the following as much as possible:
5x² - 15x + 10
3x² + 9x + 12
4x² + 8x – 16
6x² - 18x – 24
12x²
Stretch
Factorise the following as much as possible:
3𝑥 3 + 9𝑥 2 +15
5𝑡− 20𝑡 2 − 25𝑡 3
11𝑟− 33𝑟 𝑟 3
14𝑒 𝑒 2 −35𝑒
3𝑡 6 − 9𝑡 4 + 6𝑡 2
3) Factorise the following as much as possible:
6𝑥 3 + 5𝑥 2
8𝑦 4 + 9𝑦 2
12𝑝 5 − 6𝑝 3
18𝑚 4 − 27𝑚 3
28𝑣 6 − 42𝑣 3