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Homework for 9-1

Homework for 9-1. p.557 2, 5, 8, 19, 22, 25, 26, 28, 30, 34, 38, 40, 48, 54. 9-1 Add & Subtract Polynomials. Objective: add and subtract polynomials. Vocabulary. Monomial A number, variable, or the product of a number and one or more variables with whole number exponents.

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Homework for 9-1

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  1. Homework for 9-1 p.557 2, 5, 8, 19, 22, 25, 26, 28, 30, 34, 38, 40, 48, 54

  2. 9-1 Add & Subtract Polynomials Objective: add and subtract polynomials

  3. Vocabulary • Monomial • A number, variable, or the product of a number and one or more variables with whole number exponents. • Its degree is the sum of the exponents of the variables.

  4. Vocabulary • Monomial: What is NOT one

  5. Vocabulary • Polynomial: a monomial or a sum of monomials, each called a term • Degree of a Polynomial: the greatest degree of its terms • Leading Coefficient: the coefficient of the first term when the terms are written so the exponents decrease from left to right. • Binomial: Polynomial with two terms • Trinomial: Polynomial with three terms

  6. Polynomials • -2b4 + 3b3 + b2 • Degree = 4 • Lead Coeff. = -2 • 3b3-2b4 + b2 • Write so that the exponents decrease from left to right. • Identify the degree. • Identify the leading coefficient.

  7. Identify & ClassifyPolynomial? Degree? Classify… • 5xy2 • 3a-5 • X4 + 3x3 – x • 9/m • 6a2c + 5ac5 • Yes, 3, monomial • Yes, 1, binomial • Yes, 4, polynomial • No • Yes, 6, binomial

  8. Add Polynomials • Just combine like terms! • (-2x2 + 3x – x3) + (3x2 + x3 – 12) • X2 + 3x -12 • (4x3 + 2x2 -4) + (x3 -3x2 + x) • 5x3 – x2 + x - 4 • Vertical Format • 4x3 + 2x2 -4 • x3 -3x2 + x • 5x3 – x2 + x - 4

  9. Subtract Polynomials • (2c2 – 8) – (3c2 – 4c +1) • 2c2 – 8 – 3c2 + 4c – 1 • -c2 + 4c – 9 • (5y2 + 2y – 4) – (-y2 +4y – 3) • 5y2 + 2y – 4 + y2 - 4y + 3 • 6y2 – 2y - 1 • Vertical Format • (5y2 + 2y – 4) 5y2 + 2y – 4 • (-y2 +4y – 3) y2 - 4y +3 • 6y2 – 2y - 1

  10. TV • Between 1999 and 2005, the number of hours an individual person watched broadcast television B and cable and satellite television C can be modeled by: B = 2.8t2 – 35t + 879 and C = -5t2 + 80t +712 where t is the number of years since 1999. About how many hours did people watch television is 2002? • About 1706 hours

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