Factorise x^2 + 7x + 10

  • Google+ icon
  • LinkedIn icon
  • 479 views

'Factorise' essentially means put into a simpler form, in this case with two sets of linear equations which would multiply out to give the quadratic equation shown above.

What we are looking for to begin with is two numbers that add together to give 7, and multiply to give 10.We reach the numbers 5 and 2 in this example. We then simply re-arrange the quadratic into the form ' (x+a)(x+b)', where a and b are the two numbers we have found that multiply and add respectively to give 10 and 7.

Therefore, factorised, x^2+7x+10 is (x+5)(x+2)

David J. A Level Maths tutor, 13 Plus  Maths tutor, GCSE Maths tutor,...

About the author

is an online GCSE Maths tutor with MyTutor studying at Bristol University

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

95% of our customers rate us

Browse 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

mtw:mercury1:status:ok