Factor by common factor and simple trinomials
Factor a trinomial x^2+bx+c into two binomials, including trinomials that share a common factor. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Factor completely.
x2 + 9x + 14
- (x + 7)(x + 2)
- (x + 7)(x - 2)
- (x - 7)(x - 2)
- (x - 7)(x + 2)
Answer: (x + 7)(x + 2)
See one solved, step by step
Factor completely.
x2 - 4x - 5
- (x + 1)(x + 5)
- (x + 1)(x - 5)
- (x - 1)(x + 5)
- (x - 1)(x - 5)
📘 Worked solution
1x2 - 4x - 5To factor, find two numbers that multiply to give the constant term (-5) and add to give the middle coefficient (-4).
21 and −5: 1 · −5 = −5, 1 + −5 = −4Check: those two numbers multiply and add correctly.
3(x + 1)(x - 5)Put each number into its own bracket with x.
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