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8-1 Adding and subtracting polynomials

Learn how to add and subtract polynomials with this brand new notebook for taking notes. Understand the vocabulary and terms associated with polynomials, such as degree, coefficients, and standard form. Practice classifying and simplifying polynomials, as well as adding and subtracting them using different methods. Get ready for your math homework with the Delta Math Chapter 8 Part 1.

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8-1 Adding and subtracting polynomials

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  1. 8-1 Adding and subtracting polynomials Brand new paper/notebook for NOTES!

  2. Vocabulary • Term: Numbers and/or variables. • They are separated by +/-. • Monomial = 1 term • 2x • Binomial = 2 terms • 2x + 5 • Trinomial = 3 terms • 2x2 + 5x – 8 • Polynomial = many terms • 3x5 + 4x2 – 5x + 10

  3. Degree of a Monomial • Add together all the exponents of the variables 3x4 Degree: 4 -t Degree: 1 xy2z2 Degree: 5 23 Degree: 0 (there are no variables) 1 1

  4. Degree of a Polynomial • Highest exponentof a variable 4x3 +2x – 1 Degree: 3 -t + 4t Degree: 2 -2x + 3x + 4 Degree: 4 5t Degree: 1 (there are no variables) 4 1 2

  5. Vocabulary • Constant = Just a number • 2x + 5 • Variable = Letter • 2x + 5 • Coefficient = Number in front of a variable • 2x + 5 • Combine Like Terms = +/- terms with the EXACT same variables/exponents. Only add coefficient!

  6. EXAMPLE 1:Classifying Polynomials

  7. Standard Form • Write the terms in descending degree order, from the biggest exponent to the smallest. Make sure to simplify EXAMPLE 2: Write each polynomial in standard form. What is the name of the polynomial based on its degree and number of terms? 5x3 + 11x – 1 Cubic Trinomial 4x2 + 3x Quadratic Binomial

  8. EXAMPLE 3:ADDITION (4X2 + 5X – 1) + (6X2 – 3X – 4) Method 1: Combine Like Terms Method 2: Like Elimination (stack) 4x2 + 5x – 1 + 6x2 – 3x – 4 10x2 + 2x – 5 4x2 + 5x – 1 + 6x2 – 3x – 4 10x2 + 2x – 5

  9. EXAMPLE 4:SUBTRACTION(X2 – 6X + 5) – (3X2 – 5X + 6) Method 1 Method 2 x2 – 6x + 5 – 3x2+ 5x – 6 -2x2 – x – 1 x2 – 6x + 5 + -3x2+ 5x – 6 -2x2 – x – 1 **DISTRIBUTE NEGATIVE TO 2NDPOLYNOMIAL**

  10. Homework • Delta Math Ch 8 Pt 1

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