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

Question

2 days ago

14

best explains or justifies Step 2? division property of equality factoring the binomial completing the square subtraction property of equality

2 answers:

Svet_ta [4.2K] · Answer 1 · 2026-03-02T20:04:38+03:00

The options presented are:

(1) division property of equality

(2) factoring the binomial

(3) completing the square

(4) subtraction property of equality

Response: (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 extracted from $ax^2 + bx$ . Upon factoring out 'a', we divide all terms by 'a', resulting in $a[x^2+\frac{b}{a} x]$ .

Step 2 involves the binomial factorization process.

Leona [4.1K] · Answer 2 · 2026-03-02T20:06:51+03:00

6 0

Response:

The answer is B

Detailed explanation: