# To state: The properties of the algebraically equation.

BuyFind

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 12RCC

(a)

To determine

## To state: The properties of the algebraically equation.

Expert Solution

### Explanation of Solution

Given:

The algebraic equation:

x2+x18

Concept used:

Commutative property of addition and multiplication:

a+b=b+aab=ba

Calculation:

Commutative property:-The commutative property of addition.

That is two numbers are being added, their order can be changed without affecting the sum.

Counter example :-

a+b=b+a7+3=3+7

The commutative property of multiplication.

That is two numbers are being multiplied, their order can be changed without affecting the product.

Counter example :-

ab=ba35=53

Definition of algebraic equation: an algebraic equation or polynomial equation is an of the form

An algebraic equation is univariate which means that it involve only one variable.

(b)

To determine

Expert Solution

### Explanation of Solution

Given:

The associative property:

(a+b)+c=a+(b+c)

Concept used:

Associative property of addition and multiplication:

(a+b)+c=a+(b+c)(ab)c=a(bc)

Calculation:

Associative property:-The associative property of addition.

That is three numbers are being added, their order can be changed without affecting the sum.

Counter example :-

(a+b)+c=a+(b+c)(2+4)+7=2+(4+7)

The associative property of multiplication.

That is three numbers are being multiplied, their order can be changed without affecting the product.

Counter example :-

(ab)c=a(bc)(37)5=3(75)

Definition of geometrically equation :in graph theory , graph equation are equations in which the unkown are graphs.

To graph the equation of a line we plot at least two points whose coordinates satisfy the equation and then connect the points with a line.

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