Factor this polynomial completely x2 – 8x+ 12 O A. (x-2)(x-6) B. (x + 2)(x-6) c. (x – 2)(x+6) D. (x-3)(x – 4)

Question

Question

Factor this polynomial completely
x2 – 8x+ 12
O A. (x-2)(x-6)
B. (x + 2)(x-6)
c. (x – 2)(x+6)
D. (x-3)(x – 4)

in progress 0

Mathematics Lệ Thu 1 year 2021-09-03T17:42:49+00:00 2021-09-03T17:42:49+00:00 1 Answers 10 views 0

Answers ( )

kiet · Answer 1 · 2021-09-03T17:44:00+00:00

kiet

0

2021-09-03T17:44:00+00:00 September 3, 2021 at 5:44 pm

Reply

Answer:

(x-2)(x-6)

Step-by-step explanation:

We look for two integers which multiply to +12 but add to -8 and we find those numbers by looking at the factors of 12={1,2,3,4,6,12}

We find that by picking 6 and 2,6×2=12 but 6+2 is not -8 so we tweak that as -6 and-2

By so doing, now -6×-2=12,-6+(-2)=-8

so we factor to get (x-2)(x-6)