Question

WHAT ARE THE FACTORS OF THE FOLLOWING TRINOMIAL? F^2 - 14F -49

Answer 1

I'd probably use the quadratic formula or complete the square to find the factors

Answer 2

how do i do that

Answer 3

is it - 49 or + 49 at the end??/

Answer 4

+ 49

Answer 5

F^2 - 14F + 49

this can be written as
(F)^2 - 2(F)(7) + (7)^2

Since a^2 - 2ab + b^2 = (a - b)^2

Hence (F)^2 - 2(F)(7) + (7)^2 = (F - 7)^2

=> F^2 - 14F + 49 = (F - 7)^2 = (F - 7)(F-7)