Subtract Polynomials

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Assignment: Subtract Polynomials Part I: Practice Subtracting Polynomials Subtract the polynomials, showing all the steps necessary to write the answer in simplest form. 1. (9x 4) (3x 2) 2. (3x 2 8) (2x 2 1) 3. (5x 2 3x 4) (x 2 6 x) 4. (10 x 2 5) (12 x 2 4 x 3) 5. (7x 3 4 x 2 2) (2x 3 5x 7) 6. (x 3 3x 2 2x) (x 2 9) 7. ( x 5 x 4 3x 3 8. (15x 5 4 x 3 3x 2 11) (2 x 5 3x 3 9 x 8) x 2 ) (9 x 5 4 x 4 3x 3 5x) © K12 Inc. Part II: Create Your Own Subtraction Problems There are special names for polynomials depending on the highest power and the number of terms. For example, x 2 2 x 3 is considered a second degree trinomial because the largest power is 2, and there are three terms in the polynomial. Another example is 4x 3 , which is a third degree monomial because the largest power is 3, and there is one term in the polynomial. Review some common types of polynomials in the table below. Polynomial Type Monomial Binomial Definition A polynomial with one term A polynomial with two terms Examples 3x 2 9x x5 5x 6 x2 5 3 Trinomial A polynomial with three terms 3x 2x 2 4x 4x 1 x 3 5x 2 3x 4x6 x3 6x2 Now create your own problems that involve subtracting different types of polynomials. Write each problem according to the directions. Then subtract the polynomials, showing all work necessary to write the answer in simplest form. 9. Subtract a first degree binomial from a second degree trinomial. 10. Subtract a second degree trinomial from a second degree trinomial. 11. Subtract a second degree binomial from a third degree trinomial. © K12 Inc.
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