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Polynomials Lesson 8.1 in Pearson book

Polynomials Lesson 8.1 in Pearson book. Vocabulary & Adding & subtracting polynomials. A sum of terms that has positive integer exponents. For example: -4x 2 + x and x 3 – 7x 2 + 9. Polynomial.

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Polynomials Lesson 8.1 in Pearson book

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  1. Polynomials Lesson 8.1in Pearson book Vocabulary & Adding & subtracting polynomials

  2. A sum of terms that has positive integer exponents. For example: -4x2 + x and x3 – 7x2 + 9 Polynomial The parts of a polynomial that are added/subtracted. They may be a number, a variable, or a product of a number and a variable (or variables). For example, in x3 – 7x2 + 9 the terms are x3, -7x2, and 9 Term The number multiplying one or more variables in a term.Example: 3x; 3 is the coefficient. Coefficient In a polynomial in one variable, it is the exponent of that variable with the largest numerical value. Example: x3 + x2 + x + 5 is a third degree polynomial. Degree

  3. An expression that consists of a single term that is either a constant, a variable, or a product of a constant and one or more variables. It is a polynomial with one term. Example: 3x, 5y, 2ab Monomial Binomial A polynomial with exactly two terms. Example: 3x + 5 Trinomial A polynomial that consists of three terms. Example: 3x2 + 2x + 5 A polynomial written with the terms in descending order, starting with the term with the greatest degree and ending with the term with the least degree. Ex: 3x4 + 2x3 + x2 + 7x + 1 Standard form

  4. Name the terms in the following: • 5x + 3 • 3x2 – 5x – 2 • 4x3 – 3x + 8 • 5x , 3 • 3x2, -5x, -2 • 4x3, -3x, 8 Name the coefficients in the following: • 5x + 3 • 3x2 – 5x – 2 • 4x3 – 3x + 8 • 5 • 3, -5 • 4, -3

  5. Classify the polynomial by the number of terms. • binomial • trinomial • monomial • 5x + 3 • 3x2 – 5x – 2 • 4x3 Classify the polynomial by its degree • 5x + 3 • 3x2 – 5x – 2 • 4x3 • first • second • third

  6. Simplify each expression and write in standard form. • 3x + 8x • 11x2 – 2x2 + 3x3 + 5x3 • (2x + 8) + (3x – 5) • (3x + 4) – (2x – 8) • (2x2 – 3x + 5) - (5x + 7 + 3x2) • 11x • 8x3 + 9x2 • 5x + 3 • x + 12 • -1x2 – 8x – 2

  7. Assignment HW: Polynomials & Polynomials functions- Vocabulary

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