Answer:
(x-4)(x+5) or x^2+x-20
Step-by-step explanation:
If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.
The same goes for if a root is -5. it will simplify to x+5.
These are called factors of a quadratic equation.
Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20
Answer:
Standard Form: [tex]y = x^2 + x - 20[/tex]
Factored Form: [tex]y = 1(x -4)(x +5)[/tex]
Step-by-step explanation:
Hello!
We can utilize the factored form of a quadratic to find the equation.
Factored Form of a Quadratic: [tex]y = a(x -h)(x - k)[/tex]
We simply plug in the values of the roots and expand to find the equation. Replace "a" with 1.
The quadratic equation [tex]y = x^2 + x - 20[/tex] has the roots 4 and -5.
