Solve Polynomial Problem: (4x^3 - 8x^3 + 7x - 2)

  • Thread starter chmate
  • Start date
In summary, the conversation discusses how to resolve a polynomial division problem and suggests using techniques such as the division algorithm and repeated subtraction. There is also a mention of a potential typo in the problem and confirmation of the solution being 2x-1.
  • #1
chmate
37
0
Hi there, can anyone tell me how to resolve this problem?

(4x^3 - 8x^3 + 7x - 2) : (2x^2 - 3x + 2)

Thnx
 
Last edited:
Mathematics news on Phys.org
  • #2
By using the techniques in polynomial division, mayhap?
In particular, remember that the division algorithm can be regarded as an instance of repeated subtraction..
 
Last edited:
  • #3
(4x^3 - 8x^3 + 7x - 2) : (2x^2 - 3x + 2)

It looks like there is a typo - the second term in the numerator should have an exponent of 2? Is so, answer looks like 2x-1.
 
  • #4
mathman said:
It looks like there is a typo - the second term in the numerator should have an exponent of 2? Is so, answer looks like 2x-1.
Assuming the second term should be 8x2, my answer agrees with yours mathman (I equated the coefficients)
 
  • #5
Thank you guys, it's good to meet good mathematicans :)
 

1. What is a polynomial problem?

A polynomial problem is a mathematical expression that contains variables, constants, and operations such as addition, subtraction, multiplication, and division. It is usually written in the form of a sum of terms, each consisting of a coefficient multiplied by one or more variables raised to a non-negative integer power.

2. How do you solve a polynomial problem?

To solve a polynomial problem, you need to follow the order of operations (PEMDAS) and use algebraic techniques such as factoring, the quadratic formula, or synthetic division. You may also need to use the rules of exponents and simplify the expression by combining like terms.

3. What is the degree of a polynomial problem?

The degree of a polynomial problem is the highest exponent or power of the variable in the expression. In the given problem (4x^3 - 8x^3 + 7x - 2), the highest exponent is 3, so the degree of the polynomial is 3.

4. Can polynomial problems have negative exponents?

Yes, polynomial problems can have negative exponents. However, they are not considered to be polynomials because they do not follow the definition of a polynomial, which states that the exponents must be non-negative integers.

5. How many solutions does a polynomial problem have?

The number of solutions for a polynomial problem depends on the degree of the polynomial. A polynomial of degree n can have at most n solutions. In the given problem (4x^3 - 8x^3 + 7x - 2), the degree is 3, so it can have at most 3 solutions.

Similar threads

  • General Math
Replies
2
Views
1K
  • Calculus and Beyond Homework Help
Replies
10
Views
415
  • General Math
Replies
10
Views
2K
  • General Math
Replies
6
Views
1K
Replies
2
Views
2K
Replies
6
Views
1K
  • General Math
Replies
4
Views
2K
Replies
6
Views
2K
Replies
2
Views
1K
Back
Top