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a monomial or the sum or difference of two or more monomials

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a number, a variable, or the product of a number and one or more variables

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A polynomial is an algebraic expression in which certain types of terms, called  monomials, are added and subtracted. There are two ways that polynomials can be classified: by their degree, which is determined by the exponents of the variables, and by the number of terms that make up the polynomial.

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the sum of the exponents of the variable factors

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the degree of the monomial with the greatest degree

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a polynomial with two terms

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a polynomial with three terms

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the form of a polynomial in which every term is simplified and the terms are listed by decreasing degree

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It is common to write polynomials in standard form. A polynomial is in standard form when there are no like terms and the terms are written by decreasing degree. When a polynomial is in standard form, the degree of the polynomial is easy to identify; it’s just the degree of the first term. The first term is called the leading term.

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For an expression to be a polynomial, what must be true about the exponents of the variables?

When classifying polynomials by the number of terms, what are the different classifications?

When classifying polynomials by degree, what are the different classifications?

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Jumping out of a plane is not for everyone, so why do people do it? They may jump from planes for their jobs or just for the thrill of it.

Some firefighters, called smokejumpers, parachute into hard-to-reach areas where they can extinguish small fires before they spread. Jumpers in the military, called paratroopers, might parachute into a region to remain undetected.

Other people do it just for fun. Skydivers may jump by themselves or they may join up with other skydivers, in midair, to create a formation.

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After a parachutist jumps from a plane, the person’s body is in free-fall. 

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After a parachutist jumps from a plane, the person’s body is in free-fall. 

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After a parachutist jumps from a plane, the person’s body is in free-fall. Falling speed increases until the parachutist reaches terminal velocity (maximum speed with no further acceleration). With belly down and arms and legs out, terminal velocity for a skydiver is about 120 mph. Skydivers can increase their speed by falling head first with their arms and legs pulled in, and they can decrease their speed by wearing wing suits. This control is what allows them to join together in formations.

Solo skydivers may jump from approximately 12,000 ft, but skydivers wanting to make a formation start higher.