The binomial (2x+9) is a factor of a quadratic expression 14x^2+57x-27 what is the other factor of the expression

Input:

14 x^2 + 57 x - 27

Plots:

Geometric figure:

parabola

Alternate forms:

(7 x - 3) (2 x + 9)

x (14 x + 57) - 27

14 (x + 57/28) ^2 - 4761/56

Roots:

x = - 9/2

x = 3/7

Polynomial discriminant:

Δ = 4761

Properties as a real function:

Domain

R (all real numbers)

Range

{y element R : y>=-4761/56}

Derivative:

d/dx (14 x^2 + 57 x - 27) = 28 x + 57

Indefinite integral:

integral (-27 + 57 x + 14 x^2) dx = (14 x^3) / 3 + (57 x^2) / 2 - 27 x + constant

Global minimum:

min{14 x^2 + 57 x - 27} = - 4761/56 at x = - 57/28

Definite integral:

integral_ (-9/2) ^ (3/7) (-27 + 57 x + 14 x^2) dx = - 109503/392≈-279.344

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

integral_ (-9/2) ^ (3/7) (-27 + 57 x + 14 x^2) θ (27 - 57 x - 14 x^2) dx = - 109503/392≈-279.344