Question

Factor the polynomial.
4t^3+10t^2-84t If someone could show the work it would be greatly appreciated!

Answer 1

Please help!

Answer 2

Thanks reviewerc!

Answer 3

2t goes into all of it right?

Answer 4

To factor this polynomial, we can start by looking for the low-hanging fruit. Each term can be divided by 2t, so lets pull that out and see what the rest looks like:
Original: \[4t^3+10t^2-84t\]
Step 1 (Factor out 2t): \[(2t)(2t^2+5t-42)\]
Now that the remaining part is of degree 2, we can solve using the quadratic equation.

Answer 5

I got that fare but I'm stuck, whats the next step?