Factorising a cubic given one factor (random)

Given that 2x^3+4x^2-23x+35=(x+5)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that 2x^3+14x^2+35x+33=(x+3)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that 3x^3+13x^2+12x-4=(x+2)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that 2x^3-7x^2+13x-30=(x-3)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that 3x^3+19x^2+27x-4=(x+4)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that 3x^3-10x^2+4x+3=(x-1)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that 3x^3+2x^2-6x+1=(x-1)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that 2x^3+4x^2-31x-5=(x+5)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that 2x^3-3x^2-36x+5=(x-5)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.

Given that x^3+5x^2+12x+60=(x+5)*g(x), find the quadratic function g(x) in the form ax^2+bx+c.