Factoring Trinomials (a = 1)
Factors each completely.
b^2 + 8b + 7
To factor the trinomial b^2 + 8b + 7, we need to find two numbers that multiply to 7 and add up to 8. The numbers that satisfy these conditions are 1 and 7. Thus, we can rewrite the trinomial as:
b^2 + 8b + 7 = (b + 1)(b + 7)