Adding and Subtracting Polynomials

By: Abby Storey, Ashley Stone, & Dori Heissenbuttel

Main ConceptsMain Concepts

Adding like termsAdding like terms Switch the signs when subtracting Switch the signs when subtracting

but only on the right sidebut only on the right side If there’s a term that doesn’t match If there’s a term that doesn’t match

another it stays the sameanother it stays the same

ExamplesExamples

Add and classify the answer (5x^2-4x+5) + Add and classify the answer (5x^2-4x+5) + (x^2 -2x – 10)(x^2 -2x – 10)

Subtract and classify the answer (5x^2 – 4x + Subtract and classify the answer (5x^2 – 4x + 5) – (5x^2 – 2x – 10) 5) – (5x^2 – 2x – 10)

World Application #1World Application #1

• BACKPACKING & CAMPING: During the BACKPACKING & CAMPING: During the period 1992-2002 the participation B period 1992-2002 the participation B (in millions of people) in backpacking (in millions of people) in backpacking participation C (in millions of people) participation C (in millions of people) in camping can be modeled by:in camping can be modeled by:

• B= -0.0262t^3 + 0.376 t^2 – 0.574t B= -0.0262t^3 + 0.376 t^2 – 0.574t + 9.67+ 9.67

• C= -0.0182t^3 + 0.522t^2 – 2.59t + C= -0.0182t^3 + 0.522t^2 – 2.59t + 4747

World Application #2World 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

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