b2+3b-40 factories this expression
Answers
Step-by-step explanation:
Step by Step Solution:
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(1): "b2" was replaced by "b^2".
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring b2+3b-40
The first term is, b2 its coefficient is 1 .
The middle term is, +3b its coefficient is 3 .
The last term, "the constant", is -40
Step-1 : Multiply the coefficient of the first term by the constant 1 • -40 = -40
Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is 3 .
-40 + 1 = -39
-20 + 2 = -18
-10 + 4 = -6
-8 + 5 = -3
-5 + 8 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 8
b2 - 5b + 8b - 40
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (b-5)
Add up the last 2 terms, pulling out common factors :
8 • (b-5)
Step-5 : Add up the four terms of step 4 :
(b+8) • (b-5)
Which is the desired factorization
Final result :
(b + 8) • (b - 5)