What is the method for factorising the expression 'x^2 + 3x + 2'?

1. First look at the constant coefficient, which in this case is 2. You need two numbers which will multiply together to make this number. The only pairs of numbers that will make 2, are (1 and 2) or (-1 and -2).

2. Secondly, the coefficient of the x term needs to be observed, which is 3 here. This must be made by adding together two of these numbers. Looking at the pairs of numbers which we are already limited to, we can see that 1 and 2 work, as they sum to 3.

3. This allows the expression to be factorised into the following brackets:


Will W. GCSE Maths tutor, A Level Maths tutor, A Level Further Mathem...

6 months ago

Answered by Will, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Ayyub A.

Degree: Mathematics Msci (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics + 1 more

Further Mathematics

“Hi I'm Ayyub, current student at Bristol university studying Maths. I have significant tutoring experience in maths and hopefully i'll be able to help you out.”

PremiumImogen W. GCSE Chemistry tutor, GCSE Maths tutor, A Level Chemistry t...
£30 /hr

Imogen W.

Degree: Chemistry (Masters) - University College London University

Subjects offered:Maths, Chemistry


“I am very enthusiastic and patient. I want my students to be able to understand their studies so that they can enjoy them as much as I do.”

£20 /hr

Shreya G.

Degree: Biochemistry with molecular medicine (Bachelors) - Nottingham University

Subjects offered:Maths, Biology+ 1 more

-Personal Statements-

“I am a first year undergraduate student at The University Of Nottingham, currently studying Biochemistry with molecular medicine. ”

About the author

Will W.

Currently unavailable: for new students

Degree: Mathematics (Bachelors) - Durham University

Subjects offered:Maths, Physics+ 2 more

Further Mathematics

“Hi, I'm Will. I study Maths and Physics and really enjoy talking about them. I am patient and caring, so will take the time to refine a student’s understanding.”

You may also like...

Posts by Will

How do you calculate the derivative of cos inverse x?

How do you integrate (sinx)^2?

How much work must be done on a 4.0kg frictionless trolley, to accelerate it from rest to a velocity of 5.0m/s?

Show that substituting y = xv, where v is a function of x, in the differential equation "xy(dy/dx) + y^2 − 2x^2 = 0" (with x is not equal to 0) leads to the differential equation "xv(dv/dx) + 2v^2 − 2 = 0"

Other GCSE Maths questions

Factorise x^2 + 3x +2

How is frequency density calculated?

A table has diameter 130cm. What is the area, as a multiple of Pi

Solve algebraically: 6x + y = 16, 5x - 2y = 19

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss