Question

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 1

Given choices:

(1) division property of equality

(2) factoring the binomial

(3)completing the square

(4)subtraction property of equality

Answer : (2) factoring the binomial

Step 1: $-c = ax^2 + bx$

Step 2:$-c = a[x^2+\frac{b}{a} x]$

In step 2, 'a' is taken out from $ax^2 + bx$. when we take out 'a' we divide each term by 'a'. so it becomes $a[x^2+\frac{b}{a} x]$

'a' is factored out in step 2. we call it as factoring a binomial.

Answer 2

Answer:

answer is B

Step-by-step explanation: