How do I divide polynomials? (x^3-15x-7)/(x^2-3x-3)

  • Thread starter Thread starter Learning
  • Start date Start date
  • Tags Tags
    Polynomials
Click For Summary
To divide the polynomial (x^3-15x-7) by (x^2-3x-3), the process involves polynomial long division. The division yields a quotient of (x + 3) and a remainder of (-3x + 2). The complete expression can be represented as (x + 3)(x^2 - 3x - 3) - (3x - 2) = x^3 - 15x - 7. The user expresses frustration with the division process but ultimately arrives at the correct answer. This method effectively simplifies polynomial division for similar problems.
Learning
Ok, I have been trying to divide this polynomial.

(x^3-15x-7)/(x^2-3x-3)

After I factor the first part I get stuck. This is last problem on my homework and is due in less than an hour. Please some one help me out. Thanks
 
Mathematics news on Phys.org
_x__+3_________
(x^3-15x-7)|x^2-3x-3
-
x^3-3x^2-3x
------------
3x^2-12x-7
-
3x^2-9x-9
------------
-3x+2

so the answer is (x+3)*(x^2-3x-3)-3x+2=x^3-15x-7

im sorry for my long division it's just the lack of other way of doing it.
 
Last edited:

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

MHB Is x+1 a Factor of the Polynomial x^3-5x^2+3x+1?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Find Polynomial Given Remainder After Division
  • · Replies 6 ·
Replies
6
Views
2K
MHB [ASK] polynomial f(x) divided by (x - 1)
  • · Replies 2 ·
Replies
2
Views
2K
MHB Solve √(x^2+3x+7)-√(x^2-3x+9)+2=0
  • · Replies 5 ·
Replies
5
Views
2K
MHB Absolute Value Equation |3x - 2|/|2x - 3| = 2
  • · Replies 10 ·
Replies
10
Views
2K
High School Intermediate Value Theorem and Synthetic Division
  • · Replies 4 ·
Replies
4
Views
2K
MHB How do I factor this expression: 3(x + 5)^3 + 2(x + 5)^2?
  • · Replies 3 ·
Replies
3
Views
1K
MHB Partial fractions (5x^2+1)/[(3x+2)(x^2+3)]
  • · Replies 3 ·
Replies
3
Views
3K
MHB Solving trig equation cos(x)=sin(x) + 1/√3
  • · Replies 3 ·
Replies
3
Views
3K
MHB Mastering Factoring Polynomials: Solving Challenging Equations with Confidence
  • · Replies 1 ·
Replies
1
Views
2K