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hichkok12 [17]
3 years ago
13

Name the algebraic property demonstrated in the example below: x ⋅ y ⋅ z = y ⋅ x ⋅ z

Mathematics
2 answers:
IRISSAK [1]3 years ago
5 0
<span>The order was just switched around, and it is multiplication, so we can conclude that it is the "Commutative Property of Multiplication"</span>
elena55 [62]3 years ago
3 0
Multiplication is commutative. Meaning the order of the factors doesn't matter.

So, the answer is The Commutative Law of Multiplication.
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Express the polynomial −g + 3g + 2g2 in standard form and then classify it.
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Standard Form of Polynomials: When each term is written in the [decreasing; greatest to least] order of degree. 
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Note 1: A degree of a term is the number of it's exponent.
Note 2: A constant number (A number without an exponent) will have the degree of 0. Always.
Note 3: A variable without a visible exponent obtains an exponent of 1. Ex. x = x^{1}
Note 4: The operation sign before a coefficient/constant indicates if it's positive or negative. No sign: it's positive. Subtraction sign: value is negative. Addition sign: value is negative.
Note: A degree of a polynomial is the number of it's highest exponent.
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Step 1: Find the degrees of all the terms1: -g translates to -1g^{1} This is the first degree.
2: 3g translates to 3g^{1} This is the first degree.
3: I am supposing you meant 2g^{2} for ''2g2''. If you did (most likely), you should do ^ to indicate if the number after that sign is an exponent while the number in front is the base. say for instance, x^2. This translates to x^{2} where x is the base and 2 is the exponent. This is the second degree. 

Step 2: Order them greatest to least.
 2g^{2} comes first since it's the greatest degree. I'm putting 3g second even if 3g and -g shares the same degree because the number before the variable is greater than -g's number before the variable. 

 2g^{2} + 3g -g
__________________________________________________________
Classifying Polynomials: You can classify polynomials by degree and by the number of terms. First is the degree then then the type of polynomial.

In this case it's 2nd degree trinominal because the highest exponent in a term is 2 and there are three terms within this expression
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Answer: 2g^{2} + 3g -g; 2nd degree trinominal 
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