How do you factor the trinomial 5a^2+7a+25a2+7a+2?

1 Answer
Nghi N.
Jan 18, 2016

(a + 1)(5a + 2)

Explanation:

y = 5a^2 + 7a + 2y=5a2+7a+2.
Since a - b + c = 0, use shortcut. One factor is (a + 1) and the other is (a + c/a = a + 2/5)(a+ca=a+25)
y = 5(a + 1)(a + 2/5) = (a + 1)(5a + 2).y=5(a+1)(a+25)=(a+1)(5a+2).

Reminder of Shortcut
1. When a + b + c = 0:
- Two real roots: 1 and c/a ca
- One factor is (x - 1) and the other is (x - c/a)(x−ca).
2. When a - b + c = 0:
- Two real roots: -1 and (-c/a)(−ca)
- One factor is (x + 1) and the other is (x + c/a)(x+ca)

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