What is factor x^3+3x^2+25x+75 ?

The solution to factor x^3+3x^2+25x+75 is (x+3)(x^2+25)

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factor x^3+3x^2+25x+75

factor

x^{3} + 3 x^{2} + 25 x + 75

(x + 3) (x^{2} + 25)

Solution steps

x^{3} + 3 x^{2} + 25 x + 75

= (x^{3} + 3 x^{2}) + (25 x + 75)

Factor out

x^{2}

from

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

Factor out

25

from

25 x + 75 : 25 (x + 3)

= x^{2} (x + 3) + 25 (x + 3)

Factor out common term

x + 3

= (x + 3) (x^{2} + 25)

(x - 5)^{4}

x^{4} + 3 x^{2} + 4

\frac{9}{0}

3 a^{2} - 5 a - 2

(2 - x) (2 + x)

What is factor x^3+3x^2+25x+75 ?
The solution to factor x^3+3x^2+25x+75 is (x+3)(x^2+25)