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Q: What are the advantage and disadvantage of using factoring in finding solutions in quadratic equation?

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Factoring by the AC method, difference of squares, perfect square trinomial. If not factorable by those ways, you can use the quadratic formula. You can also find zeros by synthetic division. If there are not any real solutions, then the solutions are said to be complex, they do not cross the x axis.

A quadratic equation can have either two real solutions or no real solutions.

No.

They are the solutions for the reduced quadratic.

It is a quadratic equation that normally has two solutions

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In some simple cases, factoring allows you to find solutions to a quadratic equations easily.Factoring works best when the solutions are integers or simple rational numbers. Factoring is useless if the solutions are irrational or complex numbers. With rational numbers which are relatively complicated (large numerators and denominators) factoring may not offer much of an advantage.

Factoring by the AC method, difference of squares, perfect square trinomial. If not factorable by those ways, you can use the quadratic formula. You can also find zeros by synthetic division. If there are not any real solutions, then the solutions are said to be complex, they do not cross the x axis.

One would use the quadratic formula for solving binomials that are otherwise hard to factor. You can find both real and imaginary solutions using this method, making it highly superior to factoring in this regard.

The quadratic has no real solutions.

The quadratic formula is used all the time to solve quadratic equations, often when the factors are fractions or decimals but sometimes as the first choice of solving method. The quadratic formula is sometimes faster than completing the square or any other factoring methods. Quadratic formula find: -x-intercept -where the parabola cross the x-axis -roots -solutions

A quadratic equation can have either two real solutions or no real solutions.

The two solutions are coincident.

No.

If the discriminant of b2-4ac of the quadratic equation is greater the 0 then it will have 2 solutions.

certainly

They are the solutions for the reduced quadratic.

It is a quadratic equation that normally has two solutions