Question

Solve x^3+9x^2+8x-60=0
Please show work thx

Answer 1

Simplifying
x3 + -9x2 + 8x + 60 = 0

Reorder the terms:
60 + 8x + -9x2 + x3 = 0

Solving
60 + 8x + -9x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

Answer 2

x^3+9x^2+8x-60=0

start from find the factors of 60, are {+-1, +-2, +-3, +-4, +-5, +-12, +-15, +-20, +- 30, +-60}

let one of the solution is 2, check it :
x^3+9x^2+8x-60=0
(2)^3 + 9(2)^2 + 8(2) - 60 = 0
8 + 36 + 16 - 60 = 0
0 = 0
(TRUE)

then you can use long division or horner's diagram to get the other solutions

Answer 3

or by grouping:
x^3+9x^2+8x-60
=(x^3-2x^2) +(11x^2-22x) +(30x-60)
=(x-2)(x^2+11x+30)
=(x-2)(x+6)(x+5)