x²+4x

The expression you provided is a quadratic expression, \(x^2 + 4x\). If you want to analyze or manipulate it further, here are a few common steps:

1. Factoring: The expression can be factored by taking out the greatest common factor (GCF): \[ x^2 + 4x = x(x + 4) \]

2. Completing the Square: To complete the square, you can rewrite the expression as: \[ x^2 + 4x = (x + 2)^2 - 4 \] This shows that the vertex of the parabola represented by this expression is at \((-2, -4)\).

3. Finding the Roots: To find the roots of the equation \(x^2 + 4x = 0\), you can set the expression equal to zero: \[ x(x + 4) = 0 \] This gives the solutions: \[ x = 0 \quad \text{or} \quad x + 4 = 0 \implies x = -4 \]

4. Graphing: The graph of the expression is a parabola that opens upwards. The vertex is at \((-2, -4)\) and it crosses the x-axis at \(x = 0\) and \(x = -4\).

If you have a specific question or if you need help with a specific type of problem involving this expression, please let me know!