factorise the quadratic: v^2+20v+19

Recap defintions: factorise essentially means making the equation simpler by finding the common factors. 

This is a simple quadratic because the first term has a coeffecient of 1. therefore we know it will factorise into 2 brackets so we draw them out. (   )(   )

next we look at the first term, V^2. This means VxV so we put a V in each bracket so that when we mulitply the brackets it equals V^2.   (V   )(V    )

The next step is to find the factors of 19. Because this is a prime number the only factors are 1 and 19 and -1 and -19.

When we put this into the brackets and multiply the together we end up  V^2   +/- V  +/- V  +/- Number. This shows that the 2 factors that we chose need to add to make the second term in the equation, in this case 20.

We can use +1 and +19. so the answer is (V+1)(V+19). We then check this by mutliplying the brackets to together to see if we get the original equation.

Answered by Taylor L. Maths tutor

3112 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following pair of simultaneous equations 1)x+3y=11 2)3x+y=9


Differentiate y = x^2 + 3x + 5


Steve wants to put a hedge along one side of his garden. He needs to buy 27 plants for the hedge. Each plant costs £5.54 Steve has £150 to spend on plants for the hedge. Does Steve have enough money to buy all the plants he needs?


Differentiate sin(x)cos(x)


We're here to help

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