Why do the roots of a quadratic equation have the opposite sign of the factors of a quadratic equation

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.

Now by the zero product property either x-a=0 or x-b=0

then

or

 then

So, we can say that to find the roots of the quadratic equation we set the factors of the quadratic equation equal to 0.

- 1.613 = -1.6 or -1.61

-1.522 = -1.5 or -1.52

0.587 = 0.6 or 0.59

3.079 = 3.1 or 3.08

a

step-by-step explanation: