Answer:
(x + 8) • (x + 7)
Step-by-step explanation:
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2+15x+56
The first term is, x2 its coefficient is 1 .
The middle term is, +15x its coefficient is 15 .
The last term, "the constant", is +56
Step-1 : Multiply the coefficient of the first term by the constant 1 • 56 = 56
Step-2 : Find two factors of 56 whose sum equals the coefficient of the middle term, which is 15 .
-56 + -1 = -57
-28 + -2 = -30
-14 + -4 = -18
-8 + -7 = -15
-7 + -8 = -15
-4 + -14 = -18
-2 + -28 = -30
-1 + -56 = -57
1 + 56 = 57
2 + 28 = 30
4 + 14 = 18
7 + 8 = 15 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 8
x2 + 7x + 8x + 56
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+7)
Add up the last 2 terms, pulling out common factors :
8 • (x+7)
Step-5 : Add up the four terms of step 4 :
(x+8) • (x+7)
Which is the desired factorization
Final result :
(x + 8) • (x + 7)
Processing ends successfully
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