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### Course: Algebra (all content)>Unit 10

Lesson 3: Adding & subtracting polynomials: two variables

# Finding an error in polynomial subtraction

Sal analyzes a polynomial subtraction process to find the step that has an error.

## Want to join the conversation?

• Hi,
I am very happy to be a part of these course. This course is very useful to me, apart from that its make me intersting on maths.

Here i would like to ask so many questions.
1. Why polynomial equation has exponents?
2. Why exponents should not be negative integer or fraction?
3. What is the significance of exponents in polynomial equation?

I am eagerly waiting for your reply. it would be more helpful to my rest of the questions..
• Nithesh,
1) A polynomial does not require an exponent. '6', '-8', '5x', and '-22y' are all polynomials (a special type of polynomial called a monomial).

2) By definition a polynomial can only contain non-negative integers. This is topic for more advanced mathematics and it has to do with how polynomials are used as functions.

3. Exponents are used to determine the degree of a polynomial. The largest exponent in the expression determines the degree. `x^2 + 6` is a second degree polynomial. `y^8 - 17y^5 + 4y^2 -9` is an eighth degree polynomial.