Operations with Polynomials

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Presentation transcript:

Operations with Polynomials Section 9.1 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Names of Polynomials MONOMIAL is a number or a product of numbers and variables with whole number exponents BINOMIAL is a polynomial with two terms TRINOMIAL is a polynomial with three terms is POLYNOMIAL is a monomial or the sum or difference of monomials. POSITIVE, WHOLE NUMBER DEGREES • 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 1 State whether the expression is a monomial, 3x4 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 2 State whether the expression is a monomial, 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 3 State whether the expression is a monomial, 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Your Turn State whether the expression is a monomial, 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 4 Identify whether 3 – 5x2 + 4x is a polynomial and its name. Then, write it in standard form and identify its highest degree, type, leading coefficient, and constant term. 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 5 Identify 3 – (1/4)x2 is a polynomial. Then, write it in standard form and identify its highest degree, type, leading coefficient, and constant term. 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 6 Identify is a polynomial. Then, write it in standard form and identify its highest degree, type, leading coefficient, and constant term. 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Your Turn Identify –3x + 7x2 + 5 and write it in standard form and identify its degree, type, leading coefficient, and constant term. 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

Adding/Subtracting Polynomials Keep It Simple, Students Combine like terms when adding or subtracting polynomials Create a table/chart when simplifying polynomials (for the visual learners) 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 7 Simplify (x2 – 5x + 6) + (3x2 + 4x – 9) 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 8 Simplify (2x3 – 5x2 + x) + (2x2 + x3 – 1) 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Your Turn Simplify (–2x2 + 3x – x3) + (3x2 + x3 – 12) 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 8 Simplify (x2 – 5x + 6) – (3x2 + 4x – 9) 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Example 9 Simplify (2x3 + 8x2 – 6x) – (4x4 + 2x3 – x2 + 1) 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Your Turn Simplify (4x2 – 3x + 5) – (3x2 – x – 8) 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials

9.1 - Adding and Subtracting Polynomials Assignment Worksheet 4/9/2019 1:33 PM 9.1 - Adding and Subtracting Polynomials