130k views
5 votes
If the leading coefficient is negative, always factor out the negative.
-x^2+5x-6​

User Chaldaean
by
5.5k points

1 Answer

2 votes

Answer:

-1(x-2)(x-3)

Explanation:

first we factor the negative:

-1 (x^2 - 5x +6 )

the next step, (if possible) is to guess 2 numbers that multiplied are 6

and added are -5

in this case is easy to see that those numbers are -2 and -3

The solution then is:

-1(x-2)(x-3)

If guessing the 2 numbers doesn't work, you need to complete the square

User Molloch
by
5.3k points