Question

Factor completely.

x^3 + x^2 - 25x - 25

Answer 1

\(\Large \color{MidnightBlue}{\rightarrow x^2(x + 1) - 25(x + 1) }\)

\(\Large \color{MidnightBlue}{\rightarrow (x^2 - 25)(x + 1) }\)

Answer 2

a. (x+ 1)(x- 5)(x+ 5)
b. (x+ 5)(x- 1)(x+ 5)
c. (x- 1)(x+ 5)(x- 5)

Answer 3

(x - 5)(x +1)(x + 5) = 0
x - 5 = 0 => x = 5
x + 1 = 0 => x = -1
x + 5 = 0 => x = -5

Hence, x = 5 or x = -1 or x = -5

Answer 4

use grouping method : (x^3+x^2)-(25x-25)
(x^2-25)(x+1)
(x-5)(x+5)(x+1)