What is factor 4x^3+5x^2+100x+125 ?

The solution to factor 4x^3+5x^2+100x+125 is (4x+5)(x^2+25)

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factor 4x^3+5x^2+100x+125

factor

4 x^{3} + 5 x^{2} + 100 x + 125

(4 x + 5) (x^{2} + 25)

Solution steps

4 x^{3} + 5 x^{2} + 100 x + 125

= (4 x^{3} + 5 x^{2}) + (100 x + 125)

Factor out

x^{2}

from

4 x^{3} + 5 x^{2} : x^{2} (4 x + 5)

Factor out

25

from

100 x + 125 : 25 (4 x + 5)

= x^{2} (4 x + 5) + 25 (4 x + 5)

Factor out common term

4 x + 5

= (4 x + 5) (x^{2} + 25)

\frac{3 x - 2}{x ^{2} - 1} + \frac{x + 2}{x - 1}

18 + 50 - 2 - 8

(i - 3) i

\frac{a - b}{a ^{2}} + \frac{1}{a}

What is factor 4x^3+5x^2+100x+125 ?
The solution to factor 4x^3+5x^2+100x+125 is (4x+5)(x^2+25)