# data[].attributes.body
1).An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

# data[].attributes.body
1. It is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
2. Coefficients: 8,-1,7
Constant Term : 4
3. A function is anything that assigns exactly one out put to every input.Polynominals are a particular class of functions, specifically written as the sum of monominals. Where monominals are the input raised to some non-negative power and then multiplied by a constant.
4. A polynamic is an expression constisting of variables and coefficients that involves only the operations of addition, subtraction, multiplication and non negative integer exponention of variables.

# data[].attributes.body
1.An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

2.Terms:8x^3,-x,7x,-4
Coefficient:8,-1,7
Constant Term:4

3.All polynomials are functions but not all functions are polynomials.A function is anything that assigns exactly one output to every input. Polynomials are a particular class of functions, specifically the ones that can be written as the sum of monomials, where monomials are the input raised to some non-negative power and then multiplied by a constant.
4.The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or name. It was derived from the term binomial by replacing the Latin root bi- with the Greek poly-.

# data[].attributes.body
1.An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
2. 8 cube -x square 7x and -4
3. A function is anything that assigns exactly one output to every input. Polynominals are a particular class of functions, specifically the ones that can be written as the sum of monomials, where monomials are the input raised to some non-negative power and then multiplied by a constant.
4. Etymology. The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or name. It was derived from the term binomial by replacing the Latin root bi- with the Greek poly-. The word polynomial was first used in the 17th century.

# data[].attributes.body
1) An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
2) 8x cube, -x square, 7x, -4
3) A function is anything that assigns exactly one output to every input. Polynomials are a particular class of functions, specifically the ones that can be written as the sum of monomials, where monomials are the input raised to some non-negative power and then multiplied by a constant.
4) Etymology. The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or name. It was derived from the term binomial by replacing the Latin root bi- with the Greek poly-. The word polynomial was first used in the 17th century.

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1. Algebraic expressions are phrases which don't include an equal sign, the opposite way round algebraic equations include an equal sign, and show equivalency between two mathematical expressions.

2. Terms: 8x³, -x2, 7x, -4
Coefficient: 8, -1, 7
Constant Term: -4

3. Polynomials are functions because we can describe functions with expressions but not all functions are polynomials. Functions are special relationships where each input has a single output, while polynomials are a particular category of functions.

4. The word polynomial consists of two different roots. "poly", meaning "many" and "nomen" which means "name". For instance, if a polynomial includes only three term it is known as trinomial which joins with two diverse words "tri" which means "three" and "nomen" meaning "name".

# data[].attributes.body
1) An expression is a combination of numbers and an equation includes two expressions.
2) Terms: 8x³, -x², 7x, -4
Coefficients: 8, -1, 7
Constant Terms: -4
3) A function assigns one output to every input. Polynominals are a class of functions.
4) Because poly in polynominals mean many in Greek.

# data[].attributes.body
1.The difference is that expressions do not include an equal sign and are basically mathematical “phrases.” Equations include an equal sign, and show equivalency between two mathematical expressions. For example, 2x + b is an algebraic expression, but 2x + b = 14 is an algebraic equation.
2. Terms:8x³,-x²,7x,-4
Coefficients:8, -1, 7
Constant Terms: -4
3. A function is anything that assigns exactly one output to every input. Polynomials are a particular class of functions, specifically the ones that can be written as the sum of monomials, where monomials are the input raised to some non-negative power and then multiplied by a constant.
4. A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x. We can give a general defintion of a polynomial, and define its degree.

# data[].attributes.body
1.The difference is that expressions do not include an equal sign and are basically mathematical “phrases.” Equations include an equal sign, and show equivalency between two mathematical expressions. For example, 2x + b is an algebraic expression, but 2x + b = 14 is an algebraic equation.
2.
Terms:৪x³,-x²,7x,-4
Coefficients:8, -1, 7
Constant Terms: -4
3.A function is anything that assigns exactly one output to every input. Polynomials are a particular class of functions, specifically the ones that can be written as the sum of monomials, where monomials are the input raised to some non-negative power and then multiplied by a constant.
4.A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x. We can give a general defintion of a polynomial, and define its degree.

# data[].attributes.body
1.An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
2.
terms:8x^3,-x^2,7x,-4
coefficients:8, -1, 7
constant term:-4
3.A function is anything that assigns exactly one output to every input. Polynomials are a particular class of functions, specifically the ones that can be written as the sum of monomials, where monomials are the input raised to some non-negative power and then multiplied by a constant.
4. The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or name. It was derived from the term binomial by replacing the Latin root bi- with the Greek poly-. The word polynomial was first used in the 17th century.

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1) Equation is an equation implemented by a certain value or values ​​of one or more unknowns.

Equation must have both unknown and equality.

An unknown expression in an algebraic expression.

2)
-Terms: 8x³, -x², 7x, -4
-Coefficients: 8, -1, 7
-Constant Term: -4

3)
Similarities:
Every polynomial is a function, but every function is not a polynomial.

Differences:
A polynomial maps x to p(x)=Sum(aixi)
A function maps x to f(x) where f(x) can have whatever form you want

4)In mathematics, a polynomial is an expression consisting of variables  and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

# data[].attributes.body
1)No, not all algebraic expressions are polynomials. But all polynomials are algebraic expressions. The difference is polynomials include only variables and coefficients with mathematical operations(+, -, ×) but algebraic expressions include irrational numbers in the powers as well.
2)Terms:8x^3,-x,7x,-4
Coefficients:8,-1,7
Constant term:-4
3)The difference between a polynomial and a polynomial function is mainly a difference of viewpoint. ... Remember that two polynomials a(x) and b(x) are equal iff corresponding coefficients are equal, whereas two functions a(x) and b(x) are equal a(x)=b(x) for every x in their domain.
4)In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.

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1) The best way, to identify, whether a given problem is an expression or equation is that if it contains an equal to sign (=) it is an equation. However, if it does not contain an equal to (=) sign, then it is just an expression.

2)
Terms: 8x³, -x², 7x, -4
Coefficients: 8,-1,7

Constant term: -4

3) All polynomials are functions but not all functions are polynomials.

4) The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or name. It was derived from the term binomial by replacing the Latin root bi- with the Greek poly-.

# data[].attributes.body
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

# data[].attributes.body
Terms: X
Coefficents: 8, 7
Constant term: -4

# data[].attributes.body
A function is anything that assigns exactly one output to every input. Polynomials are a particular class of functions, specifically the ones that can be written as the sum of monomials.

# data[].attributes.body
Because  the word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin numen, or name. It was derived from the term binomial by replacing the Latin root bi- with the Greek poly-. Polynomial.