Question

How to Factor r^2-5r-14

Answer 1

Answer:

(r-7)(r+2)

Step-by-step explanation:

First, let's look at the -14. Possible factors for that number are (-2, 7) (2, -7) (1, -14) and (-1, 14).

Now, let's look at the -5. How can we make -5 with the pairs that we just found?

The only possible way is 2 and -7 (added together equals -5)

Answer 2

Answer:

r^2-5r-14

r^2-(7-2)r-14

r^2 -7r+2r-14

taking common from each 2 terms

r(r-7)+2(r-7)

(r-7)(r+2)

Step-by-step explanation: