f(x) = x^3 – cx^2 + 4x – 4c

In the function f above, c is a constant. How many x-intercepts does the function have?

Can you show how to solve this through logic/algebra? TIA!!

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Tag: factoring

# How many x-intercepts does the function have?

# test number 4 section 4 question number 25

# I was wondering if you could explain a little bit better question 2 of the “Binomial Squares and Difference of Two squares” Practice questions.

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

# Hello! Do you think you could explain number 8 in the Polynomials Practice Questions of the PWN the SAT Math Guide 4th Edition? Thank you!

# Test 1 Section 3 Number 16

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

# Which of the following sets contain only factors of the number 75?

# If cosA is not equal to 1, then sin^2A/(1-cosA) =

# Win a Math Guide by being first to answer this challenge question correctly

# Prime factorization and the SAT

f(x) = x^3 – cx^2 + 4x – 4c

In the function f above, c is a constant. How many x-intercepts does the function have?

Can you show how to solve this through logic/algebra? TIA!!

test number 4 section 4 question number 25 indicates

Choice B is correct.

they the college board explains:

In f(x), factoring out the greatest common factor, 2x, yields

f(x) = 2x (x2 + 3x + 2).

however I do not find 2x to be a factor of X^3 +6X +4 because the 4 has no X associated with it. I did not get the answer as b either but c. Could you explain?

Thx John

Hi Mike, I was wondering if you could explain a little bit better question 2 of the “Binomial Squares and Difference of Two squares” Practice questions. More particularly, I was wondering if there was a way to convert the equation to the right answer.

Thanks

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.

Hello! Do you think you could explain number 8 in the Polynomials Practice Questions of the PWN the SAT Math Guide 4th Edition? Thank you!

Test 1 Section 3 Number 16

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]

Hi, thanks for taking the time to answer my question!

Which of the following sets contain only factors of the number 75?

(A) {1,4,5,20}

(B) {1,3,5,25}

(C) {0,75,100,125}

(D} {3,15,17,25}

(E) {2,3,5,15}

Please explain how you did it as well, thank you 🙂

If cosA is not equal to 1, then sin^2A/ 1-cosA =

A) 1 + cosA

B) cosA

C) 1-cosA

D) 1

E) cosA -1

It’s exciting times around PWN HQ—lots of things going on. 2014 should be a fun year for SAT prep. That has nothing to do with this contest, of course. I just like to open these contest posts with a little friendly chatter. I bet nobody even reads this stuff. :/ ANYWAY, here’s a challenge question! (more…)

So this isn’t a super important thing as far as how often it appears on the SAT, but it does pop up time and again, so if you’re shooting for perfection (or close to it) you might want to pay attention. Otherwise, you can get by just fine without this little nugget (but you might (more…)