Question

Factor: x2 - 11x + 18
a: (x + 1)(x - 12)
b: (x - 3)(x - 6)
c: (x - 2)(x - 9)
d: prime

Answer 1

now this time we need all combinations of 18
1 x 18 = 18
2 x 9 = 18
6 x 3 = 18

so out of all the combinations, which 2 numbers will give me 11 (the numbers are on the left side of the equation)

Answer 2

so what's 1 +18 ?
2+9 ?
6+ 3 ?

Answer 3

it's c

Answer 4

can you show me why it's c?

Answer 5

I want to make sure you understand the process of factorization

Answer 6

Find the two factors of 18 that when added together equal 11:

-9x-2=18 and -9+-2=-11, so the two factors are -9 and -2.

(x-9) and (x-2)

set the two equations to 0 and solve:

x=9 and x=2.

Answer 7

wow that's good
(x-9)(x-2) = x^2-2x-9x+18 = x^2-11x+18

Answer 8

good job :)