Last visit was: 16 Jun 2024, 23:38 It is currently 16 Jun 2024, 23:38
Toolkit
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

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.

# (3x + 2) (2x - 5) = ax² + kx + n . What is the value of a - n + k ?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93698
Own Kudos [?]: 632362 [5]
Given Kudos: 82304
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11444
Own Kudos [?]: 33517 [0]
Given Kudos: 317
Intern
Joined: 14 Sep 2015
Posts: 8
Own Kudos [?]: 13 [2]
Given Kudos: 1
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [1]
Given Kudos: 799
Re: (3x + 2) (2x - 5) = ax² + kx + n . What is the value of a - n + k ? [#permalink]
1
Kudos
Top Contributor
Bunuel wrote:
(3x + 2) (2x - 5) = ax^2 + kx + n . What is the value of a - n + k ?

A. 5
B. 8
C. 9
D. 10
E. 11

Given: $$(3x + 2)(2x - 5) = ax^2 + kx + n$$
Use FOIL to expand the left side: $$6x^2 - 15x + 4x - 10 = ax^2 + kx + n$$
Simplify: $$6x^2 - 11x - 10 = ax^2 + kx + n$$
At this point we can see that $$a=6$$, $$k = -11$$, and $$n = -10$$, which means $$a - n + k = 6 - (-10) + (-11) = 5$$