The divisior of(m^2)-7m-18 is *
Answers
Answer:
(m+9) • (m-2)
Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • -18 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 7 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
-2 + 9 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 9
m2 - 2m + 9m - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
m • (m-2)
Add up the last 2 terms, pulling out common factors :
9 • (m-2)
Step-5 : Add up the four terms of step 4 :
(m+9) • (m-2)
Answer:
m^2 -9m +2m-18
m(m-9)+2(m-9)
(m+2)(m-9)
Hope it helps...