Question

El cociente de x2 – 8x - 20 entre x – 10 es:​

Answer 1

Respuesta:

Result:

x^2 - 28 x - 10

diferentes metodos:

Alternate forms:

(x - 28) x - 10

(x - 14)^2 - 206

-(-x + sqrt(206) + 14) (x + sqrt(206) - 14)

Roots:

x = 14 - sqrt(206)

x = 14 + sqrt(206)

Polynomial discriminant:

Δ = 824

Properties as a real function:

Domain

R (all real numbers)

Range

{y element R : y>=-206}

Derivative:

d/dx(x^2 - 8 x - 20 x - 10) = 2 (x - 14)

Indefinite integral:

integral(-10 - 28 x + x^2) dx = x^3/3 - 14 x^2 - 10 x + constant

Global minimum:

min{x^2 - 8 x - 20 x - 10} = -206 at x = 14

Definite integral:

integral_(14 - sqrt(206))^(14 + sqrt(206)) (-10 - 28 x + x^2) dx = -(824 sqrt(206))/3≈-3942.21

Definite integral area below the axis between the smallest and largest real roots:

integral_(14 - sqrt(206))^(14 + sqrt(206)) (-10 - 28 x + x^2) θ(10 + 28 x - x^2) dx = -(824 sqrt(206))/3≈-3942.21

espero te sirvan :)