Answer:
(a + 4) • (a - 5)
Step-by-step explanation:
Step by Step Solution
STEP1:Trying to factor by splitting the middle term
1.1 Factoring a2-a-20
The first term is, a2 its coefficient is 1 .
The middle term is, -a its coefficient is -1 .
The last term, "the constant", is -20
Step-1 : Multiply the coefficient of the first term by the constant 1 • -20 = -20
Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -1 .
-20 + 1 = -19 -10 + 2 = -8 -5 + 4 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 4
a2 - 5a + 4a - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-5)
Add up the last 2 terms, pulling out common factors :
4 • (a-5)
Step-5 : Add up the four terms of step 4 :
(a+4) • (a-5)
Which is the desired factorization
Final result :
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Answers & Comments
Answer:
(a + 4) • (a - 5)
Step-by-step explanation:
Step by Step Solution
STEP1:Trying to factor by splitting the middle term
1.1 Factoring a2-a-20
The first term is, a2 its coefficient is 1 .
The middle term is, -a its coefficient is -1 .
The last term, "the constant", is -20
Step-1 : Multiply the coefficient of the first term by the constant 1 • -20 = -20
Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -1 .
-20 + 1 = -19 -10 + 2 = -8 -5 + 4 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 4
a2 - 5a + 4a - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-5)
Add up the last 2 terms, pulling out common factors :
4 • (a-5)
Step-5 : Add up the four terms of step 4 :
(a+4) • (a-5)
Which is the desired factorization
Final result :
(a + 4) • (a - 5)