X2-2xy-24y2
factor the trinomial

The factored form is (x + 4y)(x - 6y)

Step-by-step explanation:

In order to find this, we need to look for factors of the last coefficient (-24) that add up to the middle coefficient (-2). To do this, we list out the factors of -24.

-24:

1, -24

-1, 24

2, -12

-2, 12

3, -8

-3, 8

4, -6

-4. 6

The numbers 4 and -6 satisfy those criteria. So we put them in the parenthesis together with x as the first term and a y attached to our found coefficients.

(x + 4y)(x - 6y)

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.