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Goals: Add and subtract polynomials. Eligible Content: A1.1.1.5.1. 8-1 Adding and subtracting Polynomials. Polynomial – a mathematical expression consisting of a sum of terms. Each term is the product of a constant and one or more variables raised to a positive or zero power. Examples:.

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8-1 Adding and subtracting Polynomials


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    1. Goals: Add and subtract polynomials. Eligible Content: A1.1.1.5.1 8-1 Adding and subtracting Polynomials

    2. Polynomial – a mathematical expression consisting of a sum of terms. Each term is the product of a constant and one or more variables raised to a positive or zero power. • Examples: Vocabulary

    3. Standard Form – the terms are in descending order of exponents. vocabulary

    4. Degree – the largest exponent in the polynomial. vocabulary

    5. Constant – degree is zero. Linear – degree is one. Quadratic – degree is two. Cubic – degree is three. Quartic – degree is four. vocabulary

    6. Leading coefficient – the coefficient of the first term when the polynomial is in standard form. vocabulary

    7. Monomial – polynomial with one term. Binomial – polynomial with two terms. Trinomial – polynomial with three terms. Anything bigger – polynomial vocabulary

    8. Examples Give the degree and classify the polynomial by degree and number of terms. • -5 • ¼ x • -9x+2 • x2 – 6 • -x3 +2x + 1 • 3x4 +2x3 – x2 +5x – 8 • 0, constant, monomial • 1, linear, monomial • 1, linear, binomial • 2, quadratic, binomial • 3, cubic, trinomial • 4, quartic, polynomial

    9. Add like terms! Put your answer in Standard Form!! Addition

    10. examples

    11. Find (3x2 + 2x – 1) + (–5x2 + 3x + 4). A. –2x2 + 5x + 3 B. 8x2 + 6x – 4 C. 2x2 + 5x + 4 D. –15x2 + 6x – 4

    12. Find (4x3 + 2x2 – x + 2) + (3x2 + 4x – 8). A. 5x2 + 3x – 6 B. 4x3 + 5x2 + 3x – 6 C. 7x3 + 5x2 + 3x – 6 D. 7x3 + 6x2 + 3x – 6

    13. Distribute the negative sign! Add like terms and put your answer in Standard Form!! Subtraction

    14. examples

    15. Find (3x3 + 2x2 – x4) – (x2 + 5x3 – 2x4). A. 2x2 + 7x3 – 3x4 B.x4 – 2x3 + x2 C.x2 + 8x3 – 3x4 D. 3x4 + 2x3 + x2

    16. Find (8y4 + 3y2 – 2) – (6y4 + 5y3 + 9). A. 2y4 – 2y2 – 11 B. 2y4 + 5y3 + 3y2 – 11 C. 2y4 – 5y3 + 3y2 – 11 D. 2y4 – 5y3 + 3y2 + 7

    17. Page 468 #1-18 Practice

    18. Pages 468-469 #20 – 42 even Homework