Question

Houw would i factor this problem out completely?

Answer 1

I think it would be factored completely to:

3t(2³ + 3² - 5)

hope this helps

Answer 2

You can factor out a 3t first, resulting in:
$3t(2t^2+3t-5)$

Now, let's factor the equation in the middle using the quadratic equation. Plug in the values to the quadratic equation:
$\frac{-3\pm \sqrt{3^2-4(2)(-5)}}{2(2)} = -\frac{3\pm \sqrt{49}}{4} = -\frac{3\pm 7}{4}$

Simplify, you get your x's:
$x = 1, -\frac{5}{2}$

To write the equation in simplified form, you just write it this way:
$3t(x-1)(2x+5)$

That's your answer ^