What is factor x^3+5x^2-16x-80 ?

The solution to factor x^3+5x^2-16x-80 is (x+5)(x+4)(x-4)

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factor x^3+5x^2-16x-80

factor

x^{3} + 5 x^{2} - 16 x - 80

(x + 5) (x + 4) (x - 4)

Solution steps

x^{3} + 5 x^{2} - 16 x - 80

= (x^{3} + 5 x^{2}) + (- 16 x - 80)

Factor out

x^{2}

from

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

Factor out

- 16

from

- 16 x - 80 : - 16 (x + 5)

= x^{2} (x + 5) - 16 (x + 5)

Factor out common term

x + 5

= (x + 5) (x^{2} - 16)

Factor

x^{2} - 16 : (x + 4) (x - 4)

= (x + 5) (x + 4) (x - 4)

16 = - 16 t^{2} + 30 t + 4

(7 t^{- 3})^{3} (s^{5} t^{\frac{1}{4}})^{2}

38

6 x^{2} + 47 x + 35

b^{2} + 2 b + 4 = 0

What is factor x^3+5x^2-16x-80 ?
The solution to factor x^3+5x^2-16x-80 is (x+5)(x+4)(x-4)