MYTUTOR SUBJECT ANSWERS

385 views

Factorise x² + 10x + 16

 

 

This is a quadratic equation.

When we are asked to facorise a quadratic equation, we should label the 3 parts of it a, b and c.

 

x² + 10x + 16

a      b        c                   so     a = 1 ,   b = 10 ,   c = 16

 

Now, we need to find two numbers that  multiply to give c  and  add up to give b.

Go through the numbers that multiply to give 16 in your head, and add them to see if they give 10...

4 x 4 = 16     but does   4 + 4 = 10 ?   No!

16 x 1 = 16   but does  16 +1 = 10?    No!

8 x 2 = 16     but does   8 + 2 = 10 ?   Yes!

 

Our factorisation is therefore:

x² + 10x + 16  =  ( x + 8 ) ( x + 2 ) 

 

Andrew W. Mentoring Computing tutor, GCSE Physics tutor, GCSE Chemist...

1 year ago

Answered by Andrew, who has applied to tutor GCSE Maths with MyTutor

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

328 SUBJECT SPECIALISTS

£18 /hr

Emily G.

Degree: Geology (Masters) - Imperial College London University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Geology
Geography

“Do you want help with Maths, Physics, Geology or Geography? Or desperately need a dedicated tutor to mentor you through writing your personal statement? Look no further! I’m Emily, studying Geology atImperial College London and wish t...”

MyTutor guarantee

£18 /hr

Tom C.

Degree: Engineering Science (Masters) - Oxford, Jesus College University

Subjects offered: Maths, Physics+ 3 more

Maths
Physics
Further Mathematics
.PAT.
-Oxbridge Preparation-

“About me I’m Tom, I’m a third year Engineer at Oxford University. I’m very patient and friendly and I’ve always had love for how things are put together, this has gone onto the science behind it. In our lessons I want to show you what...”

£18 /hr

David S.

Degree: Engineering (Masters) - Warwick University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About MeI am a first year engineering student at the University of Warwick, I enjoy maths and physics. I am patient, reliable and flexible to suit you but the focus of my tutoring is instilling confidence into a student as they work....”

About the author

£18 /hr

Andrew W.

Degree: Computer Science (Software Engineering) (Bachelors) - Newcastle University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Chemistry

“I love helping people learn and believe no problem is too hard to comprehend if it's broken down and explained in good plain English! Come join me to improve your Maths, Physics, Chemistry or Computing skills.”

MyTutor guarantee

You may also like...

Posts by Andrew

A 2 kW electric fire is switched on for 30 minutes. How many Units of electricity does it use?

Factorise x² + 10x + 16

Given that 346 × 27 = 9342 , work out 34.6 × 2.7

Other GCSE Maths questions

How do I expand out a pair of brackets?

How do I solve x-6=15?

Express 300 as a product of its prime factors.

How do I solve simultaneous equations?

View GCSE Maths tutors

Cookies:

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

mtw:mercury1:status:ok