8x^2+73x + 9 solve the sum
Answers
Answer:
(x-9)•(8x-1)
Step-by-step explanation:
The first term is, 8x2 its coefficient is 8 .
The middle term is, -73x its coefficient is -73 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 8 • 9 = 72
Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is -73 .
-72 + -1 = -73 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -72 and -1
8x2 - 72x - 1x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
8x • (x-9)
Add up the last 2 terms, pulling out common factors :
1 • (x-9)
Step-5 : Add up the four terms of step 4 :
(8x-1) • (x-9)
Which is the desired factorization
result = (x-9)•(8x-1)