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 ) 
 

AW
Answered by Andrew W. Maths tutor

63804 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are n sweets in a bag, 6 orange, rest yellow. H takes two, one after another, and eats them. Probability both are orange is 1/3. Show n^2 - n - 90 = 0.


Work out 1 1/5 ÷ 3/4. Give your answer as a mixed number in its simplest form.


Solve the simultaneous equations x + y = 3 and x^2 + y^2 = 5


Expand and simplify the following equation: 3(2a+2) + 4(b+4)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences