Trinomials+a=1



= **Trinomials Where a=1** =

When there is no GCF, Difference of Squares, or Perfect Square Trinomials we use this method.

x^2 - 3x - 10 = 1x^2 - 3x - 10
The 1 in 1x^2 is a.Because 1 * x = x, the one is left out.

Now we set up two quantities.

**(x ) (x )** Because there is a negative in the back, the signs in the quantities have different signs.

(x- ) (x+ ) or (x+ ) (x- )
Now we need to find two numbers that's product is negative ten.

Now one of these sets of numbers when added has to add up to -3

So 2 and -5 five are the numbers we're looking for. Now we put them into the the quantities.

If we FOIL these out we should get:

Which simplifies to:

x^2 - 9x + 18
Since there is a plus in the back we know the signs are going to be the same. The sign in the middle is the sign that's going to be in both quantities.

(x- ) (x- )
Now we need two numbers that's product is is 18

-1 x -18 = 18
Now we need a set of numbers that add up to -9.

Put the set into the quantities.