From the chapter on the Passport to Advanced Math section in The Official SAT Study Guide book (page 229)…

The problem with which I’m having some difficulty, taken from the chapter on the Passport to Advanced Math section in The Official SAT Study Guide book (page 229), is as follows:

(y^5) – (2y^4) – (cxy) + (6x)

In the polynomial above, “c” is a constant. If the polynomial is divisible by “y – 2,” what is the value of “c”?

Specifically, how does one factor “y – 2” from “- (cxy) + (6x)”?

Thank you for all your help, Mike.

Factoring the polynomial x^12 -9 reveals a number of factors for the expression. Which of these is NOT one of the possible factors?

Hi Mike: I get tripped up by factoring Qs like this, especially “NOT” Qs… What’s the best way to solve this? Tks!
Factoring the polynomial x^12 -9 reveals a number of factors for the expression. Which of these is NOT one of the possible factors?
A) x^6 +3
B) x^6 -3
C) x^3 + [radical 3]
D) x^3 – [radical 3]
E) x – [radical 3]

Hard questions on the new SAT might look something like this

Even though very little information has been released to date—not even a full practice test yet!—I’m hard at work trying to get a head start on the next iteration of the Math Guide for the new SAT (coming about a year from now—March 2016). When I write questions, I have a very hard time keeping (more…)

New sample questions: Math part 9

College Board released a bunch of sample questions this week for the new PSAT and SAT, which will make their debuts in October 2015 and March 2016, respectively. Over the next few days, I’ll be making posts working through each question, a few at a time, and commenting on them when I feel like I have (more…)