Factorise the following using middle term splitting
a²+8a+7
Answers
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "a2" was replaced by "a^2".
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring a2-8a+7
The first term is, a2 its coefficient is 1 .
The middle term is, -8a its coefficient is -8 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -8 .
-7 + -1 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -1
a2 - 7a - 1a - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-7)
Add up the last 2 terms, pulling out common factors :
1 • (a-7)
Step-5 : Add up the four terms of step 4 :
(a-1) • (a-7)
Which is the desired factorization
Final result :
(a - 1) • (a - 7)