Factor a simple trinomial
Factor a trinomial of the form x^2 + bx + c into two binomials. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Factor the trinomial into two binomials.
x2 + 13x + 40
- (x - 8)(x + 5)
- (x + 8)(x + 5)
- (x - 8)(x - 5)
- (x + 8)(x - 5)
Answer: (x + 8)(x + 5)
See one solved, step by step
Factor the trinomial into two binomials.
x2 - 8x - 20
- (x - 2)(x + 10)
- (x - 2)(x - 10)
- (x + 2)(x + 10)
- (x + 2)(x - 10)
📘 Worked solution
1x2 - 8x - 20To factor, find two numbers that multiply to give the constant term (-20) and add to give the middle coefficient (-8).
22 and −10: 2 · −10 = −20, 2 + −10 = −8Check: those two numbers multiply and add correctly.
3(x + 2)(x - 10)Put each number into its own bracket with x.
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