Maths

>

A-Level

Algebra & Functions

Question

How do you factorise a quadratic?

3 years ago

·

1 Reply

·

1515 views

J

Janie Mcclure


1 Answer

Devan-Kumar M Profile Picture
Devan-Kumar M Verified Sherpa Tutor ✓

Young experienced tutor w a unique understanding of exam specification

3 reviews

To factorise a quadratic, ax^2 + bx + c, we first want to ensure this is possible. We can do so by checking that the square root of b^2-4ac is not irrational. If this is the case, we can factorise the quadratic in a number of ways.


Either you can factorise intuitively e.g. x^2 + 7x + 12 = (x+3)(x+4) as 3+4=7 and 3*4=12 OR you can calculate the roots of the equation using the quadratic equation, and let the roots be called m and n. Then the quadratic equation may be factorised as a(x-m)(x-n).

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.

Think you can help?

More Maths A-Level Questions
Sherpa Badge

Need an A-Level Maths tutor?

Get started with a free online introductions with an experienced and qualified online tutor on Sherpa.

Find an A-Level Maths Tutor