00:01
We're being asked to factor the given polynomial.
00:03
Remember, anytime you're asked to factor, you should always look for a greatest common factor first, which in this case, our greatest common factor is x, because each term is divisible by x.
00:12
So, we now have to divide each term by x.
00:15
Well, 25x to the third divided by x is 25x squared, negative 10x squared divided by x is negative 10x, and x divided by x is positive 1.
00:26
Now, let's see if we can factor this remaining trinomial.
00:29
Well, this is in fact a perfect square trinomial.
00:32
The reason why we know this is because both the first and last term are perfect squares.
00:37
And to get the middle term, it's found by taking the product of the square roots of those first and last terms and doubling it...