1. Mathsercise-C
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Quadratics
Here we go!

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

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

4. You should get 4 terms when you multiply out the brackets!
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……….
a) x2 + 3x + 2
(x + 1)(x + 2)
b) x2 + 7x + 12
(x + 3)(x + 4)
c) x2 + 2x - 15
(x + 3)(x - 5)
d) x2 - 2x - 35
(x + 5)(x - 7)
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!
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Answer 4
Quadratics