Question

Write 4x^3+8x^2-96x in factored form.

Answer 1

Not sure, might be (x+6)(x-4).

Answer 2

\[4x ^{3}+8x ^{2}-96x\] To clarify.

Answer 3

Okay, here's how you'd factorize the equation:

Answer 4

4 (x-4) x (x+6)

Answer 5

OK, I knew you had to take out the GCF and factor, but I didn't know what to do with the GCF after that.

Answer 6

Solve for x over the real numbers:
\[4 x (x^2+2 x-24) = 0 \]Divide both sides by a constant to simplify the equation.
Divide both sides by 4:
\[x (x^2+2 x-24) = 0 \]Solve each term in the product separately.
Split into two equations:\[x=0\]or\[ x^2+2 x-24 = 0\]Look at the second equation: Factor the left hand side.
The left hand side factors into a product with two terms:
\[x = 0 \]or \[(x-4) (x+6) = 0 \]Solve each term in the product separately.
Split into two equations:\[x = 0 \]or \[x-4 = 0 \]or\[ x+6 = 0 \]Look at the second equation: Solve for x.
Add 4 to both sides:\[x = 0 \]or\[ x = 4 \]or\[ x+6 = 0 \]Look at the third equation: Solve for x.
Subtract 6 from both sides:

Answer 7

x=0, x=4, x=-6?

Answer 8

Yep

Answer 9

So that is factored form???

Answer 10

@DangerousJesse

Answer 11

Yep

Answer 12

Oh, ok thanks, that help quite a bit :D

Answer 13

No problem :)