Question

Ejemplo de cómo escribir:

1. Nombre de polinomio- grado- coeficiente término lineal- coeficiente término constante


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Answer 1

The first thing is to define each one:

Polynomial: expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication. Exponents can only be natural numbers and the polynomial cannot have an infinite number of terms.

Example:

This is a:
`5x^(3) + 4x^(2) -99x +20`

Degree: It is the exponent with the highest degree. If a monomial of those that are forming the polynomial has two unknowns, each with its exponent, these add up since we would be doing a multiplication of monomials.

Example:
`5x^(3) + 4x^(2) -99x +20`

The degree of this polynomial is 3 because it is the largest exponent.

Linear term coefficient: is the number that multiplies the variable with the highest exponent

Example:
`5x^(3) + 4x^(2) -99x +20`

In this case it is 5 because
`x^(3)` is the variable with the highest exponent

Constant term coefficient: is one that is found in a polynomial alone, that is, without multiplying the x or another unknown.

Example:
`5x^(3) + 4x^(2) -99x +20`

In this case it is 20 because it is the one found without multiplying any linear term (x)

Attached image with example of this.