You are Here: Home >< Maths

# Algebra help again Watch

1. Hello all,

looking for a little help. Homework for next week includes the following question -

What are the zeroes of f(x) = x3 + 5x2 - 7x + 1?

where do I begin with this, do I start with polynomial long division?

Thanks for looking in,

Nonny
2. (Original post by vokeyuk)
Hello all,

looking for a little help. Homework for next week includes the following question -

What are the zeroes of f(x) = x3 + 5x2 - 7x + 1?

where do I begin with this, do I start with polynomial long division?

Thanks for looking in,

Nonny
Try a few values of x around 0 which will make f(x)=0. Ideally you want to try the factors of the constant because the constant is the product of the roots. Once you have it, divide the polynomial through by (x-a) where x=a is your found solution. You'll end up with a quadratic which you can solve.
3. The rational roots theorem is useful for determining the values of x to try to find factors.
4. (Original post by RDKGames)
Try a few values of x around 0 which will make f(x)=0. Ideally you want to try the factors of the constant because the constant is the product of the roots. Once you have it, divide the polynomial through by (x-a) where x=a is your found solution. You'll end up with a quadratic which you can solve.
thank you, that makes more sense to me, appreciate your help.

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: September 14, 2016
Today on TSR

### What is the latest you've left an assignment

And actually passed?

### Simply having a wonderful Christmas time...

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.