Factor the expression completely { * }^(2) - 2x - 63 ​

Question

Factor the expression completely

`{ * }^(2) - 2x - 63`
​

Answer 1

use form x^2 + bx + c
b = -2
c = -63
find a pair of integers whose product equals c and sum equals b

so, find a product that equals -63 and a sum that equals -2

-9 + 7 = -2
-9 • 7 = -63

write in factored form ->
(x - 9)(x + 7)