Question

What is the factorization of the trinomial below -x^2-2x+48

Answer 1

Explanation:

In some fashion or another, the two factors are 6 and 8. But how are they put together?

-(x^2 + 2x - 48)

The 8 will be plus. That would make 2x plus. It should factor like this.

-(x + 8)(x - 6)

To check it, we should find the roots and post the graph. The graph will be upside down. That's what the minus outside the brackets does.

x + 8= 0

x = - 8

=======

x - 6 = 0

x - 6 + 6 = 6

x = 6

Answer 2

-(x-6) (x+8)

(-x +6) (x+8)

Explanation:

-x^2-2x+48

Factor out a -

-(x^2 +2x - 48)

What 2 numbers multiply to -48 and add to 2

-6 *8 = -48

-6+8 = 2

-(x-6) (x+8)

We can leave it like this or put the negative back in

(-x +6) (x+8)