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Adding and Subtracting Polynomials Using color pencils, color and label the following blocks to match those shown on the board. All red tiles represent negative terms. Just like real numbers, our algebra tiles may sum to zero. 3 3 5 5 99 1. Color the tiles below to recreate the problem with algebra tiles. Sketch your problem and solution below. 2 3x 2 x 1 x 2 4 x 3 + 2. Using your algebra tiles, recreate this addition of polynomials. Show how you solved the problem by sketching your tiles. 2 x2 3x 5 4 x 2 _____________ The subtraction operation can be written as “addition of the opposite” just like when we work with real numbers. 8 8 ___ and 8 8 ____ 3. Likewise, subtraction of the polynomials can be rewritten as an addition problem. 5x2 1 3x2 4 x 2 can be written as ________ _____________ . 4. Using your algebra tiles, recreate this subtraction of polynomials. Show how you solved the problem by sketching your tiles. 5x2 1 3x2 4 x 2 __________________ 5. When combining like terms, what part of each term changed? What stayed the same about each term when you were adding or subtracting polynomials? 6. Although you do NOT have to sketch the tiles used to solve, complete the following using algebra tiles. Pay close attention to whether you are adding or subtracting the polynomials. 4x 2 x 2 3 5 x 1 _______________ 2 x 3 2 x 2 3 _______________ 3x 2 4x 2 x x 6 ______________ 2 x 2 3 x 2 ________________ 7. Complete the following without algebra tiles. Show your work by lining up common terms. 3x 2 7x 5x 2 x 3 x 2 1 _______________ 2 6 x 3 9 x 2 x 3 _______________ 2 10 x 3 4 x 2 2 x 5 _______________ 10 x 2 7 x 9 5 x 9 _______________