P.S. I did it on paperPolynomial Division: 3x^3-5x^2+10x+4 / 3x+1

AI Thread Summary
The discussion focuses on using polynomial long division to divide the polynomial 3x^3 - 5x^2 + 10x + 4 by 3x + 1. An initial attempt at the solution was shared, but there was confusion regarding the notation and the final answer. The correct quotient derived from the division is x^2 - 2x + 4. Participants clarified the relationship between division and multiplication in polynomial equations. The conversation highlights the importance of clear notation in mathematical solutions.
eddievic
Messages
47
Reaction score
0

Homework Statement


Use polynomial long division to determine the quotient when

3x^3-5x^2+10x+4 divided by 3x+1

The Attempt at a Solution



Please see attachment as I wasn't quite sure how to write my answer here
:shy:
 

Attachments

Physics news on Phys.org
If A / B = C, then does that mean that A * C = B? That's what you have written at the bottom.
 
SteamKing said:
If A / B = C, then does that mean that A * C = B? That's what you have written at the bottom.

Oops should be

3x^3+5x^2+10x+4/3x+1=x^2-2x+4

I think..
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Trying to understand the logic behind adding vectors with an angle between them'

Thread 'Trying to understand the logic behind adding vectors with an angle between them'

My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
View full post »
Thread 'Correct statement about a reservoir with an outlet pipe'

Thread 'Correct statement about a reservoir with an outlet pipe'

The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
View full post »

Similar threads

MHB Is x+1 a Factor of the Polynomial x^3-5x^2+3x+1?
Replies
2
Views
1K
MHB What is the Slant Asymptote of $\dfrac{4x^3-10x^2-11x-1}{x^2-3x}$?
Replies
3
Views
1K
Showing a polynomial is divisible by another over Z_5
Replies
3
Views
2K
Centre of mass of a rod with varying density
Replies
5
Views
7K
B Questions regarding polynomial divisions and their roots
Replies
12
Views
3K
MHB [ASK] polynomial f(x) divided by (x - 1)
Replies
2
Views
2K
Constructing a splitting field for polynomial over F_5
Replies
5
Views
2K
Derivative of a Fraction: Simplifying with Polynomial Division?
Replies
10
Views
2K
Fractional polynomial addition
Replies
1
Views
2K
Solving Plane Equation 3x + 2y -z = 4
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top