Question

Explain, in complete sentences, how you would factor 5x3 – 35x2 + 60x.

Provide the factors.

Answer 1

First factor out 5x
then factor the remaining terms


5x(x^2-7x+12)
5x(x-3)(x-4)

Answer 2

could you go in more detail and explanation

Answer 3

I factored out 5x from the leaving (x^2-7x+12) which I factor again

Answer 4

5x3-35x2+60x=x(5x2-35x+60)
ax2+bx+c=a(x-x1)(x-x2)
x1 and x2 are roots
5x2-35x+60,
roots x1= 4 and x2=3 and a=5
5x2-35x+60= 5(x-4)(x-3)
5x3-35x+60x=x(5x2-35x+60)=x.5(x-4)(x-3)=5x(x-4)(x-3)