# 15x5 4x3 3x2 11 2x5 3x3 9x 8 b 15x5 4x3 3x2 11 1 2x5

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(15x^5 – 4x^3 – 3x^2 + 11) – (2x^5 + 3x^3 – 9x – 8) b. (15x^5 – 4x^3 – 3x^2 + 11) -1 (2x^5 + 3x^3 – 9x – 8) c. (15x^5 – 4x^3 + 3x^2 + 11) -1 (2x^5) -1 (3x^3) -1 (- 9x) -1 (-8) d. 15x^5 – 4x^3 – 3x^2 + 11 -2x^5 – 3x^3 + 9x + 8 There are special names for polynomials depending on the highest power and the number of terms. For example, 2 x x2 3 is considered a second degree trinomial because the largest power is 2, and there are three terms in the polynomial. Another example is 3 4x, 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 Definition Example Monomial A Polynomial with One Term 3x^2 9x x^5 Binomial A Polynomial with Two Terms 5x -6 x^2 + 5 3x^3 – 4x Trinomial A Polynomial with Three Terms 2x^2 + 4x – 1 x^3 - 5x^2 + 3x 4x^6 + x^3 -6x^2 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.
1. Subtract a first-degree binomial from a second-degree trinomial.