Algebra help me please?

Question

Last one from me...
please explain
If the trinomial is factorable into linear factors with integer coefficients, factor.
7z^2-z-8

Answer 1

7z^2 -z - 8 factors into (7z -8) (z+1)

Use the foil (first, outer, inner, last) method to test the answer.

(7z -8) (z+1) = first (7z x z)+ outer (7z x 1) + inner (-8 x z) +

last (-8 x 1) = 7z^2 + 7z - 8z - 8

simplify by adding/subtracting like terms

7z^2 + 7z - 8z - 8 = 7z^2 - z - 8

Answer 2

the answer is
(7z-8)(z+1)

that is fully factored out

Answer 3

7z² - z - 8

(7z - 8)(z + 1)
.