Factoring Quadratic Equations

For the equation y = x

y = 1(0)

y = x

Find factors of -3 (c) whose sum is -2 (b)

Candidate | Factor 1 | Factor 2 | Sum |
---|---|---|---|

1 | -1 | 3 | 2 |

2 | 1 | -3 | -2 |

The candidate highlighted above gives us the factors.

y = (x - 3)(x + 1) (using

Graph the three versions of the highlighted equations (using Desmos.com here) and confirm they are equivalent. ALSO, confirm that the y- and x-intercepts are correct, as well as the vertex: