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blahblah_who_cares
Find the remainder if P(x)=x^3+17 is divided by (x+2).
The answer is 9, but I dont understand how to get it.
@blahblah_who_cares Have you studied synthetic division or the Remainder Theorem?
No. Just synthetic. And I might have learned Remainder but I dont recall anything like it. .
for (x+2) evaluate f(-2) to get remainder
We can do either here. I will post the Remainder Theorem so that you can tell me if you've ever seen it. Regardless, we will do the problem but will use the method you have studied. Tell me which method after you look at this remainder theorem. Remainder Theorem If a polynomial P( x) is divided by ( x – r), then the remainder of this division is the same as evaluating P( r), and evaluating P( r) for some polynomial P( x) is the same as finding the remainder of P( x) divided by ( x – r).
Yah. Ive never learned Remainder Theorem. @Directrix
We'll do synthetic division.
P(x)=x^3+17 is divided by (x+2) P(x) = x^3 + 0x^2 + 0x + 17 divided by (x + 2) |dw:1360114222669:dw|
Does that look familiar?
Ok. So i think my big question here is how to get the -2.
|dw:1360114478786:dw|
Consider this example: Example 1 Find P(–3) if P( x) = 7 x5 – 4 x3 + 2 x –11. There are two methods of finding P(–3). • Method 1: Directly replace –3 for x. • Method 2: Find the remainder of P( x) divided by [ x – (–3)].
No. I mean how did you get -2 from (x+2).
If the divisor is (x +2), for synthetic division, it is written as (x - (-2)) which results in a divisor of (-2).
Oh.. Ok. thanks.