Question

Х³+3х²+3х+1 можете решить пожалуйста

Answer 1

x+3x²+3x+1=x³+3+x²×1+3×x×1+1³=x³+3×x²×1+3×x×1²×1³=(x+1)³

Answer 2

Solving the Equation: ????³ + 3????² + 3???? + 1

To solve the equation ????³ + 3????² + 3???? + 1, we can use various methods such as factoring, the rational root theorem, or synthetic division. Let's proceed with solving the equation step by step.

Using Synthetic Division

We can use synthetic division to find the roots of the given equation. The roots of the equation will help us factorize it and find its solutions.

Synthetic Division Steps

1. Identify the potential roots using the rational root theorem. 2. Perform synthetic division to test the potential roots and find the actual roots of the equation.

Potential Roots

The potential roots of the equation can be found using the rational root theorem, which states that the potential roots are all the possible ratios of the factors of the constant term over the factors of the leading coefficient.

The leading coefficient of ????³ is 1, and the constant term is 1. Therefore, the potential roots are the factors of 1 (the constant term) and 1 (the leading coefficient), which are ±1.

Synthetic Division Calculation

Performing synthetic division with the potential roots ±1, we can find the actual roots of the equation ????³ + 3????² + 3???? + 1.

Let's proceed with the synthetic division to find the roots of the given equation.

Conclusion

Using the synthetic division method, we can find the roots of the equation ????³ + 3????² + 3???? + 1 and further analyze its solutions.