A student is deriving the quadratic formula. Her first two steps are shown. Step 1: - c = ax2 + bx Step 2: - c = a[x^2+b/ax] Which best explains or justifies Step 2? division property of equality factoring the binomial completing the square subtraction property of equality

Answer

Division property of equality factoring the binomial

Explanation

The general quadratic equation is ax^2+bx+c=0. This formula is used to derive the quadratic formula; x = (-b±√ (b^2-4ac)) / 2a

The step1: - c=ax^2+bx

Step 2: factor out a on the right hand side.

-c=a (x^2+bx/a)

Whatever we have done to arrive at this step is well described by: division property of equality factoring the binomial