factor 5x^4+4x^3+5x^2+4x — step-by-step solution

Let's factorize in

ℝ

5 x^{4}

+ 4 x^{3}

+ 5 x^{2}

+ 4 x

You can factorize this expression into:

x^{3} \cdot (5 x + 4) + x \cdot (5 x + 4)

The common factor (

x \cdot (5 x + 4)

) appears, allowing us to factor again

▶Factored expression:

x \cdot (5 x + 4) \cdot (x^{2} + 1)