How do you factor x3+6x25x30?

2 Answers
Apr 15, 2018

x=6,x=±5

Explanation:

rearrange the equation
x35x+6x230

take out the common factors
x(x25)+6(x25)

compress the terms
(x+6)(x25)

solve for x
x=6,x=±5

Apr 15, 2018

(x+6)(x5)(x+5)

Explanation:

factor by grouping the terms

=x2(x+6)5(x+6)

take out the common factor (x+6)

=(x+6)(x25)

x25 can be factored using difference of squares

a2b2=(ab)(a+b)

x25=x2(5)2

with a=x and b=5

x25=(x5)(x+5)

x3+6x25x30=(x+6)(x5)(x+5)