37 Use factoring to solve the polynomial equation Check by s

37.) Use factoring to solve the polynomial equation. Check by substitution.

x³ + 4x² - 25x - 100 = 0

x3 + 4x2 - 25x - 100 = 0

(x3 + 4x2) - (25x - 100) =0 ( grouping together)

x^2( x+4) -25 (x +4) ( taking out least common term as factors)

(x +4)(x^2 -25) =0

(x+4)(x+5)(x-5) =0 (use formula : a^2 -b^2 = (a+b)(a-b) )

So, x +4 =0

x = -4

x+5 =0

x =-5

x -5 =0

x=5\'

Solution : x =-4 , -5 , 5