Answer:
(x +7)(x +1)
Explanation:
You want to factor the trinomial x² +8x +7.
Trinomial
The product of two binomial factors is ...
(x +a)(x +b) = x² +(a+b)x +ab
This tells us we are looking for factors of the constant 7 that have a total of 8:
The number 7 is prime, so has only one factorization:
7 = 1×7
Fortunately, those factors have a total of 1+7 = 8, which is exactly what we need.
x² +8x +7 = (x +1)(x +7)
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