Question

solve the polynomial equation by factoring
3x^5+6x^4-72x^3=0

Answer 1

\[3x^3(x^2+2x-24) = 0\]

Answer 2

3x^3 = 0, so x = 0 is one of the solutions

Answer 3

x^2 +2x - 24 = 0
x^2+ 6x -4x -24 = 0
x(x+ 6)-4(x+6) = 0
(x+6)(x-4)=0

Answer 4

So the factors are

3x^3(x+6)(x-4) = 0

Answer 5

And x = -6,0,4

Answer 6

I hope any of that made sense

Answer 7

it did. thank you