EDGE Math 8

Trinomials in the Form $a x^{2} + b x + c$

Example

Factor each trinomial.

5 x^{2} - 7 x + 2

4 x^{2} - 31 x - 8

12 x^{2} + 28 x + 15

6 x^{2} + 25 x + 14

Solution

5 x^{2} - 7 x + 2 = (5 x - 2) (x - 1)

4 x^{2} - 31 x - 8 = (4 x + 1) (x - 8)

12 x^{2} + 28 x + 15 = (6 x + 5) (2 x + 3)

6 x^{2} + 25 x + 14 = (2 x + 7) (3 x + 2)