Question

how do i completely factor?
z^2-13z+36

Answer 1

(z-4)(z-9)

Answer 2

One way that I factor is by looking for numbers that will multiply to give me the last number (36) and add/subtract to give me the middle one (-13).
Out of the factors of 36 (1,36: 2, 18: 3, 12: 4, 9: 6,6) only 4 and 9 can add to 13.

Answer 3

thanks for the help!

Answer 4

to factor this find two factors of 36 that has the sum of -13
-9*-4 are our factors and equal 36 and -9 + -4 = -13 so those are our numbers
now just
(x -9)(x - 4)