1. Adding and Subtracting Polynomials
World 2-1
Adding and Subtracting Polynomials

2. Recall;
A monomial is a single algebraic term.
A binomial contains two unlike terms
A trinomial has 3 unlike terms

3. Two terms are like terms, if they have the same variables, raised to the same exponents. Order is not important.
YES
eg. 1
YES NO
The DEGREE of a monomial is the sum of all its powers.
eg. 2 2 6
Not
Not 11
To be a monomial, the exponent must be a
positive whole number. No fractions and no negatives.

4. Polynomials can be simplified by combining like terms.
eg. 3
When adding like monomials, simply add the coefficients and keep the exponents the same.

5. eg. 4
Combine the following like terms
eg. 5
Simplify
Simply remove brackets
when adding

6. Change the sign of everything in the brackets being subtracted
eg. 6
Change the sign of everything in the brackets
being subtracted
(4y2 – 4) – (10y2 – 2x4 + 6)
b) (3a2 + 2a - 2) - (a2 - 3a + 7)
= 4y2 – 4 – 10y2 + 2x4 – 6
= 2x4 + 4y2 – 10y2 – 4 – 6
= 2x4 – 6y2 – 10
= 3a2 + 2a – 2 - a2 + 3a + 7
= 3a2 - a2 + 2a + 3a + 7
= 2a2 + 5a + 7
c) (6m2 + 17m – 4) – (2m2 – 13m – 3)
= 6m2 + 17m – 4 – 2m2 + 13m + 3
= 6m2 – 2m2 + 17m + 13m – 4 + 3
= 4m2 + 30m -1

7. Homework
World 2-2