Question

Factor: x^3+15x^2+75x+125

Answer 1

Use factor theorem.

Answer 2

well the equation seems to fit the binomial expansion of a cubic


\[(a + b)^3 = a^3 + 3a^2b + 3b^2a + b^3\]

you just need to find a and b

Answer 3

no its not difference/sum of cubes

Answer 4

no its not the sum of 2 cubes

if it was the form would be

\[a^3 + b^3 = (a + b)(a^2 - ab + b^2)\]

Answer 5

You could use the rational roots theorem and the descartes method, then use synthetic division.

Answer 6

the the of 2 cubes contains 2 terms... the expression above contains 4.

Answer 7

why make it harder than it is... just compare it to the binomial expansion.