Last visit was: 14 Jul 2024, 09:35 It is currently 14 Jul 2024, 09:35
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94342
Own Kudos [?]: 640743 [1]
Given Kudos: 85011
Send PM
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6805
Own Kudos [?]: 30796 [0]
Given Kudos: 799
Location: Canada
Send PM
Manager
Manager
Joined: 28 May 2014
Posts: 65
Own Kudos [?]: 54 [1]
Given Kudos: 164
Location: Singapore
Concentration: Strategy
GMAT 1: 590 Q44 V27
Send PM
Tutor
Joined: 26 Jun 2014
Status:Mentor & Coach | GMAT Q51 | CAT 99.98
Posts: 450
Own Kudos [?]: 809 [1]
Given Kudos: 8
Send PM
Re: x*(x+1)*(x+2) + x*(x+3) = ? [#permalink]
1
Kudos
Expert Reply
Given: x(x+1)(x+2)+x(x+3)

Method 1: for those who hate rearranging algebraic terms :D


Let's plugin x=-1(or any other number) and calculate:
The value = 0+(-1)(2)= -2
Let's check the options: we plugin x=-1 in each and check which one gives the value as '-2':

A: -1 + 4 - 5 = -2
B: -1 + 3 - 2 = 0
C: -1 + 6 - 3 = 2
D: -2 + 3 - 5 = -4
Also, D is wrong since the coefficient of x³ should have been 1, not 2

Option E is clearly wrong because there is no x³ term at all!

Only A matches - hence is the correct option


Method 2: x(x+1)(x+2) + x(x+3)
= x(x² + 3x + 2) + x² + 3x
= x³ + 3x² + 2x + x² + 3x
= x³ + 4x² + 5x

Option A

Posted from my mobile device
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19130
Own Kudos [?]: 22628 [1]
Given Kudos: 286
Location: United States (CA)
Send PM
Re: x*(x+1)*(x+2) + x*(x+3) = ? [#permalink]
1
Bookmarks
Expert Reply
Bunuel wrote:
\(x*(x+1)*(x+2)+x*(x+3) = ?\)


(A) \(x^3+4x^2+5x\)

(B) \(x^3+3x^2+2x\)

(C) \(x^3+6x^2+3x\)

(D) \(2x^3+3x^2+5x\)

(E) \(2x^2+6x+2\)


Simplifying, we have:

x(x^2 + 3x + 2) + x^2 + 3x

x^3 + 3x^2 + 2x + x^2 + 3x

x^3 + 4x^2 + 5x

Answer: A
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5275
Own Kudos [?]: 4178 [0]
Given Kudos: 160
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
x*(x+1)*(x+2) + x*(x+3) = ? [#permalink]
Bunuel wrote:
\(x*(x+1)*(x+2)+x*(x+3) = ?\)


(A) \(x^3+4x^2+5x\)

(B) \(x^3+3x^2+2x\)

(C) \(x^3+6x^2+3x\)

(D) \(2x^3+3x^2+5x\)

(E) \(2x^2+6x+2\)


\(x* \{ x^2 + 3x + 2 + x + 3 \} = x * \{x^2 + 4x + 5\}= x^3 + 4x^2 + 5x\)

IMO A

Posted from my mobile device
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3712
Own Kudos [?]: 17312 [0]
Given Kudos: 165
Send PM
Re: x*(x+1)*(x+2) + x*(x+3) = ? [#permalink]
Expert Reply

Solution



To find
We need to determine
    • The simplified value of the given expression \(x * (x + 1) * (x + 2) + x * (x + 3)\)

Approach and Working out
\(x * (x + 1) * (x + 2) + x * (x + 3)\)
    \(= x [(x + 1) * (x + 2) + (x + 3)]\)
    \(= x [ x^2 + 3x + 2 + x + 3]\)
    \(= x [x^2 + 4x + 5]\)
    \(= x^3 + 4x^2 + 5x\)

Thus, option A is the correct answer.

Correct Answer: Option A
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 33966
Own Kudos [?]: 851 [0]
Given Kudos: 0
Send PM
Re: x*(x+1)*(x+2) + x*(x+3) = ? [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
Re: x*(x+1)*(x+2) + x*(x+3) = ? [#permalink]
Moderator:
Math Expert
94342 posts