In mathematics, a polynomial is an expression constructed from one or more variables and constants, using the operations of addition, subtraction, multiplication, and constant positive whole number exponents.

Polynomials are one of the most important concepts in algebra and throughout mathematics and science. They are used to form polynomial equations, which encode a wide range of problems, from elementary story problems to complicated problems in the sciences.

• Combining Like Terms
  1 minute 13 seconds
  
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• Adding Polynomials
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• Multiplying Polynomials 2
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• Identifying The Polynomial Monomial Binomial Trinomial
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  algebra, binomials, monomials, polynomials, trinomials
• Multiplying Polynomials
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• Long Division With Polynomials
  5 minutes 33 seconds
  
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• Multiplying Polynomials Using Foil Method
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  algebra, arithmetic, arithmetic operations, foil method, multiplication, multiplication of polynomials, multiplying polynomials, operations, polynomials
• Adding Polynomials 2
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  adding polynomials, addition of polynomials, algebra, polynomials
• Synthetic Division
  3 minutes 21 seconds
  
  algebra, arithmetic, arithmetic operations, division, division of polynomials, operations, polynomial division, polynomials, synthetic division
• Polynomial Division Remainder Theorem
  2 minutes 29 seconds
  
  algebra, polynomials, remainder theorem

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• Problem 1:
  Four boys are playing with their marbles. Two boys have the same number of marbles and they both have 1 more marble than the 3rd boy. The 4th boy has 1 marble less than the 3rd boy. If all the number of marbles of each boy is multiplied, the product would be 18. How many marbles does each boy have?
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  (algebra word problems, functions word problems, polynomial functions word problems, polynomials word problems)
• Problem 2:
  A rectangular shipping container has a volume of 2500 cm3. The container is 4 times as wide as it is deep, and 5cm taller than it is wide. What are the dimensions of the contaner?
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• Problem 3:
  A diver stands at the very end of a diving board before beginning a dive. The deflecton (d) of the board at a position (s) feet from the stationary end is given by d=cs²(3L-s) for 0 is greater than or equal to s is greater than or equal to L, where L is the length of the board and c is a positive constant that depends on the weight of the diver and on the physica properties of the board. Suppose the board is 10 ft long.
  
  a) If the deflection at the end of the board is 1 ft, find c
  b) Show that the deflection is .5 foot somewhere between s=6.5 and s=6.6
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• Problem 4:
  Linda has a garden. The width of her garden is 8 feet longer than the length of it. Around the garden she has a 4 foot wide sidewalk. The area of the sidewalk is 320 feet squared. What are the dimensions of the garden?
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• Problem 5:
  Superman wants to build a sidewalk around a lot. Batman says that the current width of the lot is 5 meters and the length is 7 meters. Spiderman says that the final area must be 63 square meters. And Aquaman says that the width of the walkway is X meters wide. What is the width of the walkway?
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