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Published byDanielle Dillon Modified over 3 years ago

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Messin with Monomials Hey whatz a monomial???

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Monomials defined A number like 6, 10, or 958(called a constant or a constant monomial) A variable like x, y, or z A product ( that means multiply) of a number and one or more variables

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**Polynomials Definition: the sum of monomials Special names:**

Binomial: is the sum of two terms xy + 3x Trinomial: is the sum of three terms a + ab + 6

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**Some examples of Monomials**

Like Terms 7xyz, 9xyz, and ½xyz 6x, 5x, and 102x Unlike Terms 9x and 4 y 3ab, 3 bc, and 8 abc

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**Adding Monomials is Magic!!!**

When monomials have exactly the same variables including the same exponents they are called LIKE TERMS LIKE TERMS can be added by adding their coefficients

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Monomials Added Notice that the coefficients are added but the variable and the exponent remain the same.

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More Monomials Added Be sure to compare variables and exponents before adding coefficients They must be exactly the same If they are not LEAVE THEM ALONE

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Degree Of a variable This just means the number of times the variable occurs as a factor in the monomial The x is of degree 2 Of a monomial This means the sum of the degrees of the variables The degree of is = 7

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Note The degree of any non zero constant monomial such as 12 is 0

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**The Degree of a Polynomial**

Is the greatest of the degrees of its terms after it has been simplified.

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Monomials Multiplied To multiply these monomials Rearrange

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**Rule for Multiplying Monomials**

It’s easy. Just remember to ADD the Exponents

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**Monomial Raised to a Power**

This means to repeatedly multiply the monomial So Means

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**Rule for Raising Monomials to a Power**

It’s easy. Just remember to Multiply the Exponents

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8-1 Adding and Subtracting Polynomials. Degree of a monomial: is the sum of the exponents of its variables. The degree of a nonzero constant is 0. Zero.

8-1 Adding and Subtracting Polynomials. Degree of a monomial: is the sum of the exponents of its variables. The degree of a nonzero constant is 0. Zero.

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