Solve quadratic equation using factoring

z^2-5z+4=0

Step-by-step explanation:

To factorize a cuadratic equation, one must use the well known formula to find the roots of the equation: , where a (a=1) is the coefficient that accompanies the cuadratic term, b is the coefficient that accompanies the linear term (b=-5) and c is the constant (c=4).Then, applied to this specific case, the previous formula results: . Then, the two roots of the equation come from .Consecuently, , and .Finally, the cuadratic function can be expressed like this: (which comes from the fact that any polynomial can be expressed as the product of , where i are the roots of the polynomial). To corroborate that the procedure is correct, you can resolve this product, and you will obtain the inicial expression.