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Chapter 5

Chapter 5. Section 5.2. Objectives. To add, subtract, and multiply polynomials. Vocabulary. _____ ______ are two monomials that are the same, or differ only by their numerical coefficients. A _______________ is a monomial or a sum of monomials. Trinomial  Binomial 

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Chapter 5

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  1. Chapter 5 Section 5.2

  2. Objectives • To add, subtract, and multiply polynomials.

  3. Vocabulary _____ ______ are two monomials that are the same, or differ only by their numerical coefficients. A _______________ is a monomial or a sum of monomials. Trinomial  Binomial  The _________ of a polynomial is the _______of the monomials with the greatest __________. Like Terms polynomial Tri = 3; Nomial = Number Bi = 2; Nomial = Number degree degree degree

  4. Example State the degree of the polynomial. x4y3– 21x3 Answer: 7

  5. Example Simplify (4x2- 3x) – (x2 + 2x – 1) Answer: 3x2 – 5x + 1 (4x2- 3x) + (x2 + 2x – 1) Answer: 5x2 –x - 1

  6. Example (4n + 3)(3n + 1) FOIL!

  7. FOIL • F – the product of the first terms • O – the product of the outer terms • I – the product of the inner terms • L – the product of the last terms.

  8. Example (4n + 3)(3n + 1) Answer: 12n2+ 13n + 3

  9. Example (k2 + 3k + 9)(k+3) Answer: k3 + 6k2 + 18k + 27

  10. Simplify 11x + y • (5x – 7y) + (6x + 8y) • 3y(2x+6) • (x+6)(x+3) • 2m2n(5mn – 3m3n2 + 4mn4) • (2p – 3s)2 6xy + 18y x2 + 9x + 18 10m3n2 – 6m5n3 + 8m3n5 4p2 – 12ps+ 9s2

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