How can I factorise 2(x^2)+3x+1=0 ?

This quadratic equation is in the form ax^2+bx+c=0 (a=2, b=3, c=1), where there is a coefficient in front of X2 term. First we have to multiply a and c. we then have to find two numbers z and y which multiply to give ac and add up to give b.I.e. zy=ac and z+y=b.
In the example case values 2 and 1 multiply to give 2 and add up to give 3. We then express the quadratic equation as 2(x^2)+2x+x+1=0 (Where the x coefficients equals z and y). Afterwards we see what we can factorise in our new quadratic equation. From the example we can factorise 2(x^2) +2x to get 2x(x+1) and we can't factorise anything else. Notice that after we factorise we have 2x(x+1) and 1(x+1). Here we have a factor (x+1) and we can then simply get another factor 2x+1. Our factorised quadratic equation is (2x+1)(x+1)=0.

Answered by Jonathan R. Maths tutor

2512 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to find the equation of a line connecting two given coordinate points.


The probability of getting heads on a biased coin is 0.8. You flip the coin twice. What is the probability of getting one each of heads and tails?


How do you complete the square?


How do you multiply out brackets


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