The math has in fact changed a lot! This question is asking about something called the remainder theorem. I’ll try to be brief…

Say you have a polynomial, f(x). If some number, c, is a root of that polynomial, that means two things:

1. f(c) = 0

2. When you divide f(x) by x-c, it divides evenly and you get no remainder.

On the other hand, if c is NOT a root, then when you divide f(x) by x-c you get a remainder. And the remainder theorem says that the remainder will also be what you get when you evaluate f(c).

So in this problem, since f(-5) is 3 (and not zero), we know that (x+5) does not divide f(x) evenly. It has a remainder of 3.

And yes, this is covered in the new book ðŸ™‚

]]>f(x) = ax^3 + bx^2 + cx + d.

a,b,c and d are constants. If f(-5)=3, which of the following must be true about f(x)?

A) x – 3 is a factor of f(x)

B) The remainder when f(x) is divided by x + 5 is 3.

C) x + 2 is a factor of f(x)

D) x + 5 is a factor of f(x)

I have your older version book, so if it’s covered in the new book, let me know. I didn’t think the math changed that much in the new version of the test.

Thanks!

]]>Also sent you an email! But I do want to say here: the questions do still get harder as you go. And depending on your strength and score goal, there does come a point where it is smart to take guesses on the remaining multiple choice questions so that you have time to pick and choose among the grid-ins. Still, let’s take care of your more individual questions by email.

Phil

]]>I sent you a longer email…short version: do the practice tests, review the answers, learn the alternative methods too!

Phil

]]>Anyway, thanks for the comment and diagram.

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