How to write a quadratic equation in factored form from standard form

1. WRITING AN
EQUATION IN
FACTORED FORM

2. Say you have the quadratic
equation: 𝑦 = 2𝑥2
+ 2𝑥 − 40
◦ From the graph, you can see
that the x-intercepts occur at (-
5, 0) and (4, 0)
◦ This is all the information you
need to write the equation in
factored form!

3. Say you have the quadratic
equation: 𝑦 = 2𝑥2
+ 2𝑥 − 40
◦ x-intercepts occur at (-5, 0) and (4, 0)
◦ Factored form of a quadratic equation is
𝑦 = 𝑎(𝑥 − 𝑏)(𝑥 − 𝑐)
where b and c are the x-intercepts
◦ Our equation would be:
𝒚 = 𝟐(𝒙 + 𝟓)(𝒙 − 𝟒)
The a value (2) is the same as it was in standard form, so I just brought
that down from the equation.