Show That (x+1)(x+2)(x+3) Can Be Written In The Form Ax^3 +bx^2 + Cx ...

Find a tutorHow it worksPricesResourcesFor schoolsBecome a tutor

+44 (0) 203 773 6024

Log inSign upAnswers>Maths>GCSE>ArticleShow that (x+1)(x+2)(x+3) can be written in the form ax^3 +bx^2 + cx + d where a,b,c,d are positive integers.

First we shall expand two of the brackets to obtain a quadratic equation and then multiply each term by the remaining bracket. The order with which we expand the brackets does not matter. Use the FOIL method to help remember how to expand brackets: First Outside Inside Last=(x+1)(x2 + 5x + 6)= x3 + 5x2 + 6x + x2 + 5x + 6 Lastly simplify the solution into the form asked for in the question:= x3 + 6x2 + 11x + 6

SWAnswered by Scott W. • Maths tutor

8666 Views

See similar Maths GCSE tutors

Need help with Maths?

One-to-one online tuition can be a great way to brush up on your Maths knowledge.

Have a Free Meeting with one of our hand picked tutors from the UK's top universities

Find a tutor

Download MyTutor's free revision handbook?

This handbook will help you plan your study time, beat procrastination, memorise the info and get your notes in order.

8 study hacks, 3 revision templates, 6 revision techniques, 10 exam and self-care tips.

Download handbook

Free weekly group tutorials

Join MyTutor Squads for free (and fun) help with Maths, Coding & Study Skills.

Sign up

Related Maths GCSE answers

All answers ▸

How do I use the bow-tie circle theorem?

Answered by Ivana T.

What should I do if I can’t answer this question?

Answered by

Rearrange 4(2x + y) = 11 + 7y to make x the subject

Answered by Ashley Y.

Find the inverse of: f(x) = (2x + 3)/(x - 4)

Answered by Sophie I.

We're here to help

Contact us+44 (0) 203 773 6020

Company Information

CareersBlogSubject answersBecome a tutorSchoolsSafeguarding policyFAQsUsing the Online Lesson SpaceTestimonials & pressSitemapTerms & ConditionsPrivacy Policy

Popular Requests

Maths tutorChemistry tutorPhysics tutorBiology tutorEnglish tutorGCSE tutorsA level tutorsIB tutorsPhysics & Maths tutorsChemistry & Maths tutorsGCSE Maths tutors

CLICK CEOP

Internet Safety

Payment Security

Cyber

Essentials

MyTutor is part of the IXL family of brands:

IXL

Comprehensive K-12 personalized learning

Rosetta Stone

Immersive learning for 25 languages

Wyzant

Trusted tutors for 300 subjects

Education.com

35,000 worksheets, games, and lesson plans

Vocabulary.com

Adaptive learning for English vocabulary

Emmersion

Fast and accurate language certification

Thesaurus.com

Essential reference for synonyms and antonyms

Dictionary.com

Comprehensive resource for word definitions and usage

SpanishDictionary.com

Spanish-English dictionary, translator, and learning resources

FrenchDictionary.com

French-English dictionary, translator, and learning

Ingles.com

Diccionario ingles-espanol, traductor y sitio de apremdizaje

ABCya

Fun educational games for kids

© 2025 by IXL Learning