Polinomios Lesson Slides: 4 Slides

4 Slides • 3 Questions

1

Polinomios

2

Polinomios

$p\left(x\right)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$
$a_n,\ a_{n-1},\ ....,\ a_1,\ a_0\ \ \in\ \mathbb{R}$
Coeficientes
$n\ \in\mathbb{N}$
Grado

3

Open Ended

Considere las siguientes expresiones. Verifique si son polinomios y además diga su grado:

-\frac{1}{5}x^2+\sqrt{7}

-5x^2+2x^{\frac{1}{4}}+1

Type response here

4

Operaciones entre polinomios

Sumar
Restar
Multiplicar
Dividir

5

Multiple Choice

Sean $p\left(x\right)=-2x^3+x-1$ , $q\left(x\right)=x^2-6x+2$ y $t\left(x\right)=x-4$

Al operar

q\left(x\right)-p\left(x\right)

y

p\left(x\right)\div t\left(x\right)

se obtiene:

1

$-2x^3+x^2-5x-1$ y $\left(x-4\right)\left(-2x^2-8x+31\right)-123$

2

$2x^3+x^2-7x+3$ y $\left(x-4\right)\left(-2x^2-8x-31\right)-123$

6

Evaluación de un polinomio

Dado un polinomio arbitrario
$p\left(x\right)$ , si reemplazamos la variable por el número real $a$ , decimos que $p\left(a\right)$ es el POLINOMIO EVALUADO EN $a$
Claramente $p\left(a\right)\ \in\mathbb{R}$

7

Multiple Choice

Al evaluar -1 en $r\left(x\right)=5x^4-2x^2-3$ se obtiene:

1

0

2

-1

3

$i$

4

Esta no es

Polinomios

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