Question

3X^3-45X^2-2X+30 entre x – 15

Answer 1

Respuesta:

¡Hola!

⇒Ay te va la resolucion;

$\frac{3x^3-45x^2-2x+30}{x-15} \\\\\frac{3x^2(x-15)-2(x-15)}{x-15} \\\\\frac{(x-15)(3x^2-15)}{x-15} \\\\3x^2-2$

Epero haberte ayudado

Salu2¡¡¡

Answer 2

$3x^3-45x^2-2x+30$  ÷  $x\:-\:15$

Explicacion:

$3x^3-45x^2-2x+30\\\\\left(3x^3-45x^2\right)+\left(-2x+30\right)$

$\left(3x^3-45x^2\right)$ → $3xx^2-45x^2$ → $3xx^2-3\cdot \:15x^2$ → $3x^2\left(x-15\right)$

$(-2x+30)$ → $-2x+2\cdot \:15$ → $-2\left(x-15\right)$

$(3x^3-45x^2\right)+\left(-2x+30\right)\\\\-2\left(x-15\right)+3x^2\left(x-15\right)\\\\\left(x-15\right)\left(3x^2-2\right)$ Dividido entre $x\:-\:15$

$\frac{\left(x-15\right)\left(3x^2-2\right)}{x-15}$

Solucion:

$\frac{3x^3-45x^2-2x+30}{x-15}\\\\\frac{\left(x-15\right)\left(3x^2-2\right)}{x-15}\\\\3x^2-2$

Saludos.