Newbetuts

Given that $a,b,c$ satisfy the equation $x^3-2007 x +2002=0$, then find $\frac{a-1}{a+1}+\frac{b-1}{b+1} +\frac{c-1}{c+1}$

Sum of cube roots of complex conjugates

Set of primes $p$ which $x^4-x^3-2x^2-2x-1$ completely factors in finite field of order $p$

How would you find the exact roots of $y=x^3+x^2-2x-1$?

Solving Non-Homogenous Recurrence Relation

relation between roots and coefficient in a cubic polynomial

Foolproof method for simplifying polynomials with four terms?

Why should it be $\sqrt[3]{6+x}=x$?

I'm failing to solve a cubic equation

Trajectory of a 2D constant jerk motion

Solving $ax^3+bx^2+cx+d=0$ using a substitution different from Vieta's?

Can $x^3+3x^2+1=0$ be solved using high school methods?

Deriving expression for general cubic equation solution.

Finding cubic function from points?

Integer solutions to $x^3=y^3+2y+1$?

Solving a cubic polynomial equation.

What equation produces this curve?

New posts in cubics

Using trig identity to solve a cubic equation

What's the explanation for these (infinitely many?) Ramanujan-type identities?

The sum of three cubes

Given that $a,b,c$ satisfy the equation $x^3-2007 x +2002=0$, then find $\frac{a-1}{a+1}+\frac{b-1}{b+1} +\frac{c-1}{c+1}$

Sum of cube roots of complex conjugates

Set of primes $p$ which $x^4-x^3-2x^2-2x-1$ completely factors in finite field of order $p$

How would you find the exact roots of $y=x^3+x^2-2x-1$?

Solving Non-Homogenous Recurrence Relation

relation between roots and coefficient in a cubic polynomial

Foolproof method for simplifying polynomials with four terms?

Why should it be $\sqrt[3]{6+x}=x$?

I'm failing to solve a cubic equation

Trajectory of a 2D constant jerk motion

Solving $ax^3+bx^2+cx+d=0$ using a substitution different from Vieta's?

Can $x^3+3x^2+1=0$ be solved using high school methods?

Deriving expression for general cubic equation solution.

Finding cubic function from points?

Integer solutions to $x^3=y^3+2y+1$?

Solving a cubic polynomial equation.

What equation produces this curve?