4x2+11x-3
We have our a, b, and c values:
a = 4, b = 11, c = -3
Factor the quadratic 4x2 + 11x - 3
Build factor pairs:
Since a = 4 ≠ 1, find all factor pairs:a x c = 4 x -3 = -12
These must have a sum = 11
| Factor Pairs of -12 | Sum of Factor Pair |
|---|---|
| 1,-12 | 1 - 12 = -11 |
| 2,-6 | 2 - 6 = -4 |
| 3,-4 | 3 - 4 = -1 |
| 4,-3 | 4 - 3 = 1 |
| 6,-2 | 6 - 2 = 4 |
| 12,-1 | 12 - 1 = 11 |
We want {12,-1}
Rewrite 11x as the sum of factor pairs:
12x - 1x
Our equation becomes
x2( + 12x - 1x) - 3 = 0
