What is factor 3125x^5+625x^4-125x^3+25x^2+5x ?

The solution to factor 3125x^5+625x^4-125x^3+25x^2+5x is 5x(625x^4+125x^3-25x^2+5x+1)

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factor 3125x^5+625x^4-125x^3+25x^2+5x

factor

3125 x^{5} + 625 x^{4} - 125 x^{3} + 25 x^{2} + 5 x

5 x (625 x^{4} + 125 x^{3} - 25 x^{2} + 5 x + 1)

Solution steps

3125 x^{5} + 625 x^{4} - 125 x^{3} + 25 x^{2} + 5 x

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} = xx

= 3125 x^{4} x + 625 x^{3} x - 125 x^{2} x + 25 xx + 5 x

Rewrite

3125

5 \cdot 625

Rewrite

625

5 \cdot 125

= 5 \cdot 625 x^{4} x + 5 \cdot 125 x^{3} x - 5 \cdot 25 x^{2} x + 5 \cdot 5 xx + 5 \cdot 1 \cdot x

Factor out common term

5 x

= 5 x (625 x^{4} + 125 x^{3} - 25 x^{2} + 5 x + 1)

3 \frac{1}{2} \div 2 \frac{1}{4}

6 (912)

\frac{1 - \frac{1}{x}}{1 + \frac{1}{x}}

\frac{16}{3} + 4

\frac{x}{2} + 2 x

What is factor 3125x^5+625x^4-125x^3+25x^2+5x ?
The solution to factor 3125x^5+625x^4-125x^3+25x^2+5x is 5x(625x^4+125x^3-25x^2+5x+1)