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How is the factored form helpful in solving quadratic equations?

a. Factored form simplifies the quadratic equation
b. It helps identify the roots of the equation
c. Factored form allows for easier graphing of the equation
d. All of the above

1 Answer

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Final answer:

The factored form of a quadratic equation is helpful because it allows for identifying roots, simplifies the equation, and aids in graphing. Therefore, all the given options are correct.

Step-by-step explanation:

The factored form is helpful in solving quadratic equations because it simplifies the equation and reveals the roots directly. When a quadratic equation is in the form ax²+bx+c = 0 and can be factored into (mx+n)(px+q) = 0, setting each factor equal to zero, namely mx+n = 0 and px+q = 0, gives us the roots or solutions to the equation. Moreover, the factored form aids in the graphing of quadratic functions by providing the x-intercepts, which are the roots of the equation.

In conclusion, the factored form is crucial for identifying the roots of a quadratic equation, simplifying the equation, and facilitating its graphical representation, thus making 'd. All of the above' the correct choice.

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