Adding and Subtracting Polynomials – Part 1 Slideshow 13, Mr Richard Sasaki, Room 307

Objectives Please try the initial review!

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Brackets Whatever is on the outside of the bracket affects each term within the bracket. We will add and subtract polynomials in brackets like these. Polynomials have two important properties. They have a non-infinite number of termsThey have a non-infinite number of terms They have non-negative integer powersThey have non-negative integer powers

Polynomials Are these polynomials? Yes! Yes! Even monomials with one term are polynomials. No… Negative powers are not allowed. No… You can’t have an infinite number of terms. Polynomials are usually simpler things like the first two examples.

Addition and Subtraction Let’s try adding some polynomials. When we add polynomials, the brackets make no difference to the calculation. The second bracket had a minus symbol in front of it so the symbols swapped.

Addition and Subtraction Let’s do a couple more. The first bracket had a minus symbol in front of it so the symbols swapped. Both pairs of brackets had minus symbols at the front so all symbols swapped.

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Expanding Brackets Calculations with bracket expansion are longer. Example Remember that the minus will make the symbols swap with the second bracket.

Answers - Easy

Answers - Hard