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

Verified Answer :

The polynomial in its standard form is:


\(ax ^ 2 + bx + c
\)

The student's first step is:


\(-c = ax ^ 2 + bx
\)

The student's second step is:


\(-c = a (x ^ 2 + (\frac{b}{a}) x)
\)

The student's second step is to factor the remaining binomial on the right side of the equation.

In this case, the student made a common factor of the letter a.

Answer:

The sentence that best explains or justifies Step 2 is:

factoring the binomial



Answer:

factotoring

Step-by-step explanation: