Lesson: Combining Factoring Techniques

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Hi. I noticed that there is a lot of practice with difference of squares. Do you know of any sources that can provide practice with the other two special products?

Thank you!!

f a, b, and c are constants, a > b > c, and x^3 - x = (x - a)(x - b)(x - c) for all numbers x, what is the value of b ?

(A) - 3
(B) -1
(C) 0
(D) 1
(E) 3

Hi Brent,

Grateful for your solution for the above mentioned question please.
Thanks a lot
Fatima-Zahra
gmat-admin's picture

Nice question! I've now added it to the Reinforcement Activities.

Here's my full solution: https://gmatclub.com/forum/if-a-b-and-c-are-constants-a-b-c-and-x-3-x-x-...

Cheers,
Brent

C = -1
gmat-admin's picture

Yes, that's correct.

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