(m^2 +21m -46) ÷( m-2)
Answers
Answer:
Factoring m2-21m-72
The first term is, m2 its coefficient is 1 .
The middle term is, -21m its coefficient is -21 .
The last term, "the constant", is -72
Step-1 : Multiply the coefficient of the first term by the constant 1 • -72 = -72
Step-2 : Find two factors of -72 whose sum equals the coefficient of the middle term, which is -21 .
-72 + 1 = -71
-36 + 2 = -34
-24 + 3 = -21 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -24 and 3
m2 - 24m + 3m - 72
Step-4 : Add up the first 2 terms, pulling out like factors :
m • (m-24)
Add up the last 2 terms, pulling out common factors :
3 • (m-24)
Step-5 : Add up the four terms of step 4 :
(m+3) • (m-24)
Which is the desired facepalm