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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. By: Abby Storey, Ashley Stone, & Dori Heissenbuttel. Main Concepts. Adding like terms Switch the signs when subtracting but only on the right side If there’s a term that doesn’t match another it stays the same. Examples.

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Adding and Subtracting Polynomials

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  1. Adding and Subtracting Polynomials By: Abby Storey, Ashley Stone, & Dori Heissenbuttel

  2. Main Concepts • Adding like terms • Switch the signs when subtracting but only on the right side • If there’s a term that doesn’t match another it stays the same

  3. Examples • Add and classify the answer (5x^2-4x+5) + (x^2 -2x – 10) • Subtract and classify the answer (5x^2 – 4x + 5) – (5x^2 – 2x – 10)

  4. World Application #1 • BACKPACKING & CAMPING: During the period 1992-2002 the participation B (in millions of people) in backpacking participation C (in millions of people) in camping can be modeled by: • B= -0.0262t^3 + 0.376 t^2 – 0.574t + 9.67 • C= -0.0182t^3 + 0.522t^2 – 2.59t + 47

  5. World Application #2 • CAR COSTS: During the period 1990-2002, the average costs D (in dollars) for a new domestic car and the average costs I (in dollars) for a new imported car can be modeled by: • D= 442.14t + 14,433 • I= -137.63t^2 + 2,705.2t + 15,111

  6. World Application #3 • SCHOOL ENROLLMENT: During the period 1985-2012, the projected enrollment B (in thousands of students) in public schools and the projected enrollment R (in thousands of students) in private schools can be modeled by: • B= -18.53t^2 + 975.8t + 48,140 • R= 80.8t + 8,049

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