Answer:
To find the roots of the quadratic equation we set the factors of the quadratic equation equal to 0.
Step-by-step explanation:
Consider the provided information.
Roots of the equation is x-intercepts or zeros of the given equation.
So, By definition, the value of The y-coordinate is zero for points situated on the x-axis.
Thus, we can find the roots of a quadratic function, by putting f (x) = 0.
Now, let (x-a)(x-b) is the factor of any quadratic equation.
To find the roots of the quadratic function we will put our factor equal to 0.
[tex](x-a)(x-b)=0[/tex]
Now by the zero product property either x-a=0 or x-b=0
[tex]x-a=0[/tex] then [tex]x=a[/tex]
or
[tex]x-b=0[/tex] then [tex]x=b[/tex]
So, we can say that to find the roots of the quadratic equation we set the factors of the quadratic equation equal to 0.